A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must,by agreement, contain a rectangular border of uniform width and must be exactly 120 sq meters in area. (i) How wide should the border be? Round to the nearest tenth of a metre.

Q: In an isosceles trapezium one of the non-parallel sides measure 5 cm. What is the measure of other…

A: Given: An isosceles trapezium with one of the non-parallel side as 5 cm. The objective is to find…

Q: A tinsmith wants to make a small windowsill planter from a 40cm×16cm40⁢cm×16⁢cm sheet of copper.…

A: We will calculate height first from given ratio in question. PFA Given dimension of sheet 40 cm×16…

Q: 1. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 18 inches…

A:

Q: A rectangular parallelipiped is of dimensions 5cm x 2cm x 5cm. How many such rectangular…

A: This question is based on LCM (least common multiple).

Q: A pipeline, is approximately 700 mi long. Assuming that it has a uniform 60 in. inside diameter,…

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Q: 2. The top of the trough with triangular ends is a horizontal rectangle 50 cm by 150 cm, and the…

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Q: A factory is to be built on a lot measuring 100 ft by 240 ft. A local building code specifies that a…

A: Solving this question, we can construct a quadratic equation that represent the situation. We can…

Q: A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width, as shown in the…

A: Given a pool measuring 10 meters by 20 meters is surrounded by a path of uniform width and area of…

Q: To determine the distance between two points on opposite sides of a pond, a surveyor locates two…

A: Given,            A surveyor loctes two stakes at those two points and uses instruments to place a…

Q: 4. A coffee shop owner has 32 m² of brick to use for the floor of a patio along the side of the…

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Q: A rectangular glass window measuring 9” and 12”is divided into two equivalent right triangles by a…

A:

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

A: we should find the height of the rectangle such that the window will admit the most light.

Q: If posts are spaced 5 feet apart, how many posts are needed for 50 feet of straight-line fence?

A: The length of the straight-line fence is 50 feet.

Q: If an open box is made from a square tin sheet 12×12 in. by cutting an identical squares from each…

A: in this question, there is an open box made by 12*12in  tin sheet For the box to be of the largest…

Q: 8. If the length of this parallelogram is 12 cm long and the width is 8cm long. how long is its…

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Q: 2. What is the perimeter needed to fence a right triangle with legs 63ft and 16 ft? from

A: The objective of the question is evaluate the perimeter of the right triangle.

Q: The owner of the Rancho Grande has 2,980 yds of fencing with which to enclose a rectangular piece of…

A:

Q: . The angles of an oblique parallelepiped are equal to the corresponding angles of another…

A: Angle of Parallelepiped 1 = Angle of Parallelepiped 2Side of  Parallelepiped 1 =3 side of…

Q: A cylinder of clay has a diameter of 12 cm and a height of 12 cm. If this clay is made into…

A:

Q: A soccer field is 90 m wide and 120 m long. If coach Schwartz asks players to run from one corner…

A: The soccer field is in a rectangular shape whose width is 90 meters  and  length is  120 meters.

Q: A side of an equilateral triangle is 16 m long. What is the area of the triangle? Do not round any…

A: We need to find area of triangle.

Q: On the blueprint for a house, a rectangular balcony is 1 inch wide and 1.75 inches long. If the…

A: Perimeter of balcony is 22 feet.

Q: An athletic field is a 40 yd​-by-80 yd ​rectangle, with a semicircle at each of the short sides. A…

A:

Q: If area of a triangular peice of cardboard is 90 cm2 , then The length of altitude corresponding to…

A:

Q: If a right triangle is formed by the placement of three squares, what is the area of the shaded…

A: Given that three squares are arranged such that a right angled triangle PBD is formed. We need to…

Q: A triangular prism has a rectangular edge of 45cm and volume of 90cm^3. It is cut into identical…

A: Given, Edge of the triangle prism = 45 cm Volume = 90 cm3 Volume of the small prism = 10 cm3

Q: A gardener plans to enclose a rectangular region using fencing on three sides and part of a shed on…

A: A gardener plans to enclose a rectangular region using fencing on three sides and part of a shed on…

Q: A developer wants to subdivide a rectangular plot of land measuring 600 m by 750 m into congruent…

A:

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

A: The question is to find the proportions of the silo such that the total cost for making the silo is…

Q: A cabinet maker wants to make a simple open cab- inet as shown at right. If the middle shelf is to…

A: In the given question we have to maximize the area .

Q: A water trough is 9 m long and has a cros height 50 cm. If the trough is being filled m/min

A: Given a water trough which is 9 m long and has a cross section in shape of an isosceles trapezoid

Q: An architect designed a semicircular tunnel so that two trucks can pass each other with a 3-foot…

A: Let radius of semicircular tunnel be r, then its diameter will be 2r. Given: Height of truck=12…

Q: A equilateral triangle whise sides is equal to 115 cm A rectangualr lot with 13 METERS  long and 8…

A: To find the perimeter of the following

Q: If a rectangle has a length 10 cm and a width of 6 cm, what is the perimeter?

A: If a rectangle has a length 10 cm and a width of 6 cm.

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: Let us take x=the width of the tile border. By the agreement, the pool must contain a rectangular…

Q: A triangular prism has base edges 4cm, 5cm, and 6cm long. Its lateral area is 300 cm2. What is the…

A:

Q: 2. Find the length of a rectangular lot 14 m wide and with 50 m digonal path.

A: As per guidelines we have to solve one question

Q: An architect is designing a composite window by attaching a semicircular window on top of a…

A: Given:- An architect is designing a composite window by attaching a semicircular window on top of a…

Q: A dog trainer has 66 ft of fencing with which to create a rectangular work area for dogs. If the…

A: Given:Perimeter = 66 ftArea = 182 ft2

Q: 2. A rectangular field has a length of 120 m and a width of 300 ft. What is the area of the field in…

A:

Q: 4.Find that length of canvas ¾ meters wide is required to make a conical tent 8 meters in diameter…

A: To find the length of canvas 34 meters wide is required to make a conical tent 8 meters in diameter…

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

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

Q: Mr. Armstrong wishes to build a deck of uniform width around his pool.  The pool is rectangular and…

A: Let the width of the deck be x so the diagram of the pool and deck will be as following We know…

Q: The outer circle of the driveway has a diameter of 30 feet and the inner circle of the driveway has…

A: Area of circle

Q: For a rectangle with area 225 to have the smallest perimeter, what dimensions should it have? (Enter…

A: For the minimum perimeter of the rectangle you just need to equate the derivative of perimeter…

Q: This shape consists of 6 congruent rectangles. If a single rectangle has a perimeter of 222 meters,…

A:

Q: Mary Frances has a rectangular garden plot that encloses an area of 48 yd?. If 28 yd of fencing are…

A: Given: The area of a rectangular garden is 48 yd2. For fencing the garden the length required is 28…

Q: A factory is to be built on a lot measuring 114 ft by 152 ft. A local building code specifies that a…

A: Given: total area of yard and building = 114 ×152 ft2 = 17328 ft2 Now it is given that according to…