A) given the perimeter of the rectangle is 100 meters. What is the dimension should be to get the maximum area?    B) Given the area of a rectangle is 64 square meters. What dimension should be to get the minimum perimeter?

Q: Given: Quadrilateral POST is an isosceles trapezoid with OS I PT. ER is its median. a. If OS = 3x -…

A: Given quadrilateral POST is an isosceles trapezoid with OS∥PT and ER is its median.

Q: 4. The sides of a triangular lot are 130 m, 180 m, and 190 m. The lot is to be divided by a line…

A: Cosine law

Q: A condominium is to be be constructed in a rectangular lot with a perimeter of 800 m. What is the…

A:

Q: A norman window consists of a rectangle surmounted by a semi-circle. If the perimeter of a norman…

A: Let x denote half the width of the rectangle and let h denote the height of the rectangle. Then the…

Q: - equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then putting…

A: let the length of the lots =L and breadth of the lots= x area of the lots = L×x It is given that…

Q: By using the definitions of equilateral triangle (a triangle with three congruent sides) and of…

A: A equilateral triangle is a triangle whose all three sides are equal. The perimeter of a triangle is…

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: We need to determine the radius of semicircle and height of rectangle.

Q: Given: Quadrilateral WISH is a parallelogram. a. If mzW = x + 15 and mLS = 2x + 5, what is mzW? b.…

A: Given: Quadrilateral WISH is a parallelogram. To find: If m∠W = x+15  and  m∠S = 2x+5 a)  m∠W = ?…

Q: A triangular lot, where all its three sides have the same length, is to contain a triangular…

A:

Q: In rhombus LMNO, diagonals  and  intersect at P. If the measure of is represented by 2x + 70. Solve…

A: the diagonals of rhombus intersect each other at 90 degree angle.

Q: An Olympic pool is rectangular with a length of 50 meters, a width of 25 meters, and a  depth of 3…

A: Given a rectangular pool of length 50m, width 25m and a depth of 3m. A client wants to build a pool…

Q: rancher decides to enclose a rectangular region by using an existing fence along one side of the…

A: Given query is to find the dimensions of the rectangular region.

Q: 1. The base and the height of a parallelogram is (x-7) met (x+9) meters respectively. If the area of…

A: 1. Base of parallelogram is b=x-7   Height of parallelogram is h=x+9 and Area is = 192=(x-7)(x+9)…

Q: 3. Given: Quadrilateral LIKE is a kite with LI = IK and LE = KE. a. LE is twice LI. If its perimeter…

A: Given- Quadrilateral LIKE is a kite with LI≅IK and LE≅KE. To Find- (a) The side LE, if LE is twice…

Q: A right triangle has a hypotenuse of 24 cm and a height of 16 cm. What is the approximate perimeter…

A:

Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not…

A: Given the volume function Domain are the set of x values for which the function is well defined.…

Q: 2. A semicircle will be drawn with the unknown side of a triangular lot as its diameter. Calculate…

A: Perimeter of the above image = ?

Q: A triangular lot, where all its three sides have the same length, is to contain a triangular…

A: The figure is shown below: △ABC represents triangular lot.△DEF represents traingular building

Q: A cylindrical standpipe is to contain 343,000gallons of water. If the height is to be twice its…

A:

Q: 1. Given: Quadrilateral WISH is a parallelogram. a. If mzW = x + 15 and mzS = 2x + 5, what is mzW?…

A:

Q: factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies that a…

A: Given: The dimensions of the lot is 120 ft by 160 ft. The area of the lawn and the area of the…

Q: A student claims that the circumference of a semicircle with diameter AB is equal to the sum of the…

A: Circumference of circle=πD  D = diameter

Q: A right triangle has side lengths measuring 7 cm, 24 cm, and 25 cm. A similar triangle has a…

A: Let x be the length of shortest side of larger triangle. Since both triangles are similar, By basic…

Q: 3.

A: Given that, There are two equilateral triangle. Area of small triangle is 64(3)1/2 m2. Distance…

Q: 13. The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the…

A: Suppose the dimensions of the poster are, x(length) and y(breadth) of the printed area. Here, given…

Q: 1. A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A:

Q: 4. The line segment that joins the midpoints of the nonparallel sides of a trapezoid is parallel to…

A: A trapezoid is a quadrilateral with one pair of parallel sides. Consider the figure given below:…

Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not…

A: NOTE: Refresh your page if you can't see any equations. . here we have and in the question given…

Q: Write a COORDINATE PROOF to prove each of the following.

A:

Q: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a…

A: According to guidelines we can solve only first question.Upload remaining again.

Q: 1. The minimum possible perimeter for a rectangle with an area of 529 m² is

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 6. The perimeter of a garden is 20m, its area is 24sq m. What are the dimensions of the garden?

A:

Q: f two pyramids are similar to with slant heights in the ratio of 3:8, what is the ratio of their…

A: For similar objects, the ratio of their surface area is equal to the ratio of squares of their…

Q: On a flat surface of land, geolo-gists drilled a borehole straight down and hit a mineral deposit at…

A:

Q: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a…

A: Given: Area of the factory is equal to the area of the lawn. The dimension area of the place where…

Q: A page is to contain 30 square centimeters of print. The top and the bottom margins are 1.5 cm and 1…

A:

Q: Of all rectangles with area 400 in2, what are the dimensions of the one with the minimum perimeter?…

A:

Q: A factory is to be built on a lot measuring 300 ft by 400 ft. A local building code specifies that a…

A:

Q: 5. An inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet…

A:

Q: A semielliptical archway over a one way road has a height of 10 feet and a width of 30 feet. A truck…

A: Given: road height =10 feet road width=30feet The truck has a width =10feet The truck has a…

Q: If a has a length of x units and c has a length of 2x units, what will be the length of b?

A:

Q: 5. Find the area and perimeter of a rhombus if the diagonals are 6 cm and 8 cm respectively. 6. The…

A: We will solve the problem

Q: Twenty feet of wire is to be used to form two figures. In each of the following cases, how much wire…

A: (Note: We are entitled to solve only one question at a time and up to 3 subparts only) Given: Twenty…

Q: A rancher wants to fence in an area of 1,500,000 square feet in a rectangular field and then divide…

A: We will find the shortest length of fence.

Q: 11. For what value of x is the quadrilateral a parallelogram?

A:

Q: The perimeter of a triangle is 102cm and its area is 431.1554cm2. Find the maximum diameter of a…

A: Given: Area of triangle = 431.1554 cm2 Perimeter of triangle = 102 cm We know that the incircle of a…

Q: A rancher decades to enclose a rectangular region by using an existing fence along one side of the…

A: Given that, the length is five times as long as its width. That is, l=5b. If existing fence is along…

Q: Construct an equilateral triangle & a square from a wire of 100m together, such that their area is…

A:

Q: You want to make a skirt to go around the bottom of a round chair with a radius of 2 feet. What is…

A: We will find the minimum length of fabric  required as following.