Answered: Dimensions of a Lot A city lot has the…

Dimensions of a Lot A city lot has the shape of a right trianglewhose hypotenuse is 7 ft longer than one of the other sides. Theperimeter of the lot is 392 ft. How long is each side of the lot?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.6: Solving Other Types Of Equations

Problem 89E

See similar textbooks

Related questions

Q: 7.) A lot in the shape of a quadrant of a circle of radius 100m. Find the area of the largest…

Q: Dimensions of a Lot A rectangular parcel of land is50 ft wide. The length of a diagonal between…

A: Given: widthb of rectangular is 50 feet, length of diagonald is 10+lfeet and length of rectangle is…

Q: 41. Dimensions of a Garden A rectangular garden is 10 ft longer than it is wide. Its area is 875…

Q: Radius of a Sphere A jeweler has three small solid spheres made of gold, of radius 2 mm, 3 mm, and 4…

A: Given: Three small solid sphere of radius are 2 mm ,3mm and 4 mm To find the radius of large…

Q: Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 1 liter…

A: At first find the volume of given cuboid tank using formula Volume of cuboid=…

Q: An electric refrigerator is built in the form of a rectangular parallelepiped. The inside dimensions…

A: To find the capacity of the refrigerator, Volume of refrigerator=volume without freezing…

Q: A rectangular tank is to contain 9000 liters of water. The tank has an inner width of 3meters and an…

Q: ABRGIS a 30°-60°-90° triangle. The hypotenuse of ABRGhas a length of 28 feet and mB= 30 What is the…

A: Proceed as shown below...

Q: A rectangular lot whose perimeter is 340 ft is fenced along three sides. An expensive fencing along…

A: Let's find longer and shorter dimensions of rectangle.

Q: Dimensions of a Swimming Pool A rectangular swimmingpool is 8 ft deep everywhere and twice as long…

A: The total amount of water the swimming pool hold V=w.h.d if h its length, w its width and d its…

Q: Dimensions of a Garden A gardener has 100 meters of fencing to enclose two adjacent rectangular…

Q: -. Dimensions of a Poster A poster has a rectangular printed area 100 cm by 140 cm and a blank strip…

A: Given: A poster has a rectangular printed area 100 cm by 140 cm and Total Perimeter =112 Perimeter…

Q: A triangular trough has its ends vertical equilateral triangles 60cm on each side. The open top has…

A: Here we will apply the formula of volume of trough to find the answer

Q: A rectangular lot is to be enclosed with a fence. A building is on one side of the lot, so it won't…

A: Maximize area

Q: A rectangular lot is to be enclosed with a fence. A building is on one side of the lot, so it won't…

Q: Dimensions of a Garden A rectangular garden is 10 ft longer than it is wide. Its area is 875 ft2.…

Q: Dimensions of a Garden A rectangular garden is 10 ft longerthan it is wide. Its area is 875 ft2.…

A: Given, Area of the graden=875ft2 A rectangular garden is 10 ft longer than its wide.

Q: 100. Dimensions of a Lot A rectangular parcel of land has an area of 5000 ft?. A diagonal between…

A: We have been given the rectangular parcel with an area of 5000ft2 and the diagonal is 10 ft longer…

Q: Dimensions of a Square If a square has an area that is 289 square feet or less, what are the…

A: Given: A square has an area that is 289 square feet or less. To Find: The possible lengths x for the…

Q: Dimensions of a Lot A city lot has the shape of a right triangle whose hypotenuse is 7 ft longer…

A: Let 'x' be the one of the right angle triangle. So, the hypotenuse of the triangle will be (x + 7)…

Q: 66. Dimensions of a Track A running track has the shape shown in the figure, with straight sides and…

A: Given that, Length of track = 440 yd Length of each straight parts = 110 yd So length of two…

Q: 16. An observatory is shaped like a cylinder standing on one of its bases with a dome on top. The…

A: Topic:- geometry

Q: 16. Norman Windows A Norman window has the shape of a rectangle surmounted by a semicircle of…

Q: A rectangular lot is to be enclosed with a fence. A building is on one side of the lot, so it won't…

Q: boardwalk be? 35. Note Board Design You are designing a note board that is made of corkboard and dry…

Q: Girth of a Box A box with a square base has length plus girth of 108 in. (Girth is the distance…

A: The girth of a geometric object along particular direction, is the perimeter of the projection of…

Q: 79–92 ■ Inequalities Solve the inequality. Express the solutionusing interval notation and graph the…

A: Give: A homeowner wishes to fence in three adjoining garden plots, one for each of her children. If…

Q: A tourist is traveling by car due east on a road through a forest. From point A on the road, a path…

A: The problem can be solved by using the Pythagoras theorem. The point is closest to a line when it is…

Q: 77. Dimensions of a Lot A parcel of land is 6 ft longer than it is wide. Each diagonal from one…

Q: 18. Architecture A special window has the shape of a rectangle surmounted by an equilateral…

A: Let x be the length of rectangle and y be the breadth of the rectangle . The side of triangle is…

Q: A rectangular lot is to be enclosed with a fence. A building is on one side of the lot, so it won't…

A: Let x be the length of two sides and the remaining side will be (600-2x) ft. We need to find the…

Q: A tourist is traveling by car due east on a road through a forest. From point A on the road, a path…

Q: 40.) A farmer wished to construct a rectangular fence with one side along a barn. The farmer has 240…

A: Let assume width of the fence is along the one side of the barn. So out of four sides, fence needs…

Q: - Dimensions of a Garden A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find…

A: Length of Ground=x ftBreadth of Ground=y ftPerimeter of Ground=200 ftArea of Ground=2400…

Q: Constructing wire frames Two square wire frames are to be constructed from a piece of wire 100…

A: Given- A piece of wire 100 inches long and the area enclosed by one frame is to be one-half the area…

Q: 13. Dimensions of a Puzzle Piece A puzzle piece in the shape of a triangle has perimeter 30 cm. Two…

A: To find out the length of shorter side.

Q: You wish to Construct a closed rectangular box that has a volume of 4 ft^3. The length of the base…

Q: Arectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will use…

Q: 8. Geometry The lengths of the diagonals of aparallelogram are 30 meters and 40 meters. Find…

A: Given:diagonals of a parallelogram are 30m and 40mTo find the…

Q: A rectangular lot is to be enclosed with a fence. A building is on one side of the lot, so it won't…

Q: Dimensions of an open Box. A rectangle piece of cardboard is twice as long as it is wide. A 4-cm…

A: Given information:A rectangle piece of cardboard is twice as long as it is wide. A 4-cm square is…

Q: sider a triangle ABC like the or drawn to scale.) Solve the trian Fry your intermediate computatie

A: Introduction: The law of sines and cosines for the triangle with sides a,b,c and angles A,B,C is…

Q: length of the hypotenuse of the triangle pictured below 13 hypotenuse 2.

A: Solution : Given : a = 2 b =13 If c is hypotenuse then formula for hypotenuse is, a2+b2 = c2

Q: B. A shipping container in the shape of a rectangular solid must have a volume of 351 m3. The client…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: An observatory is cylindrical in shape and is topped by a hemisphere. The diameter of the…

Q: Length of a Garden A rectangular garden is 25 ft wide. If its area is 1125 ft?, what is the length…

A: Given: Rectangular garden Wide = 25 ft Area = 1125 ft2 To Find: Length of the garden

Q: A sandbox can be modeled by a triangular prism combined with a rectangular prism. Robin emptied…

A: Given, A sandbox can be modeled by a triangular prism combined with a rectangular prism. Robin…

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Dimensions of a Lot A city lot has the shape of a right triangle
whose hypotenuse is 7 ft longer than one of the other sides. The
perimeter of the lot is 392 ft. How long is each side of the lot?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Dimension of a lot a square plot of land has a building 60 feet long and 40 feet wide at one corner .The rest of the land outside the building form if parking lot .if the parking lot has area 12,000ft2 , what are the dimensions of the entire plot of land?
Dimensions of a Lot A parcel of land is 6 ft longer than it is wide. Each diagonal from one corner to the opposite corner is 174 ft long. What are the dimensions of the parcel?
Dimensions of a Garden A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 2400ft2.
Finding Dimensions At a glassware factory, molten cobalt glass is poured into molds to make paperweights. Each mold is a rectangular prism whose height is 3inches greater than the length of each side of the square base. A machine pours 20cubic inches of liquid glass into each mold. What are the dimensions of the mold?
Width of a Lawn A factory is to be built on a lot measuring 180 ft by 240 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory. What must the width of this lawn be, and what are the dimensions of the factory?
Dimensions of a Garden A gardener has 100 meters of fencing to enclose two adjacent rectangular gardens (see figure). The gardener wants the enclosed area to be 350 square meters. What dimensions should the gardener use to obtain this area ?
Height of a Flagpole Jack is standing next to a flagpole, and notices that the shadow cast by the flagpole is 4 times the length of his own shadow. If Jack is 5 feet, 8 inches tall, how tall is the flagpole?
Girth of a Box A box with a square base has length plus girth of 108 in. Girth is the distance around the box. What is the length of the box if its volume is 2200 in3?
A cross section of an aluminum bar in the shape of a trapezoid is shown. All the dimensions are in inches. a. Find the cross-sectional area of the bar. b. Find the length of side AB. Round the answer to the nearest hundredth inch.