4. The students in an art class have blue cloth that is 60 inches long, gold cloth that is 48 inches long, and white cloth that is 72 inches long. They want to cut all the cloth into pieces of equal length for.a project a. What is the greatest possible length of the pieces without having any cloth left over? Explain your reasoning.

Q: 3) The top of a ladder rests against a wall, 23 feet above the ground. The base of the ladder is 6…

A:

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: A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges 90°.…

A: (a) Let x be the depth of the gutter. As the width of the sheet is 12 in, we get the surface area as…

Q: (a) The perimeter of a rectangular parking lot is 346 m. If the length of the parking lot is 97 m,…

A: Perimeter and area of rectangle

Q: 7. If it costs $0.30 per square yard to mow the lawn, how much does it cost to mow a triangular lawn…

A: Sides of triangular lawn are given and they are , x=37 yards, y=45 yards , z=22 yards. the perimeter…

Q: If the pre-image of a shape has an area of 16. What is the area of the image of the scale factor is…

A: Ratio of areas of image and pre-image is equal to square of  scale factor.

Q: If the three sides of a triangle are in ratio of 3:5:7 and the perimeter of the triangle is 12 cm.…

A: Let the length of the sides of the triangle are  3x, 5x, 7x Therefore the perimeter is 3x+5x+7x=15x…

Q: 1. Find the area of the largest circle which can be cut from a square of edge 5in. What is the area…

A:

Q: 4 If the radius of circle Y is 7.5 inches, then the area of circle Y is:

A: Area of circle =πr^2

Q: 2. A 20-foot ladder is leaning against a vertical wall. If the foot of the ladder is 8 feet from the…

A:

Q: [3] A rectangular field is to be fenced off along the bank of a river. The river bank does not…

A:

Q: 4. The third side of a triangle measures (3x-5) cm. If the length of the midline is 14m, what is x?*

A: Given- The third side of the triangle =(3x-5) cm Length of midline=14m To find - Value of x Here we…

Q: A tinsmith wants to make a small windowsill planter from a 50⁢cm×30⁢cm sheet of copper. She’ll form…

A:

Q: Need help and exlination on solving this problem

A:

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A: In the given question we have to find the value of maximum area that can be enclosed by the fence.

Q: 10. a. How does the area of A'B"C" compares to the area of A'B'C'? Such as does it increase or…

A:

Q: 3. Faith wants to construct a rectangular garden in which the length is twice its width and the area…

A:

Q: 4. The perimeter of a triangular plot is 360 m and its sides are in the ratio 10: 12: 14. Find the…

A: As per bartleby guidelines we only give first question answer.

Q: 8. A landscape architect has included a rectangular flower bed measuring 9 ft. by 5 ft. in her plans…

A:

Q: 10. What is the length of the longest ladder that can be carried horizontally around a hallway…

A: We have to find largest length of ladder

Q: 10. A norman window consists of a rectangle surmounted by a semi-circle. If the perimeter of a…

A:

Q: 2. A rectangle has a perimeter of 30 m and length exceeds the width by 5 m. Compute the length of…

A: Perimeter=30 m

Q: 10. What is the length of the longest ladder that can be carried horizontally around a hallway…

A: Given: Two hallways are connected with each other at right angle. One corner of the hallway is 5…

Q: In how many equal parts can a wire, 50 cm long be cut so that the product of its parts is a maximum?…

A:

Q: 7. The diameter of a standard basketball is 9.5 inches. If the basketballs are covered in rubber,…

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: 74. A rectangular garden is to be constructed so that the width is 100 ft. What are the possible…

A: by using perimeter formula for rectangle

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: 7. Tristan has a square back yard with an area of 225ft sq. He started to plant grass seed but only…

A:

Q: 36. A 900 cm' open box is made by cutting 4 cm X 4 cm squares out of each corner of a square piece…

A: The given question has been solved in detail

Q: 2. For a given perimeter, what is the ratio of the length to the width of a rectangle that will have…

A: Solve the following

Q: 15) Mr. Z must mow his lawn, 12 m by 6 m. However, his rectangular pool (2m by 3m) is right in the…

A: We are given the following. Now, area of the lawn is 12×6=72 m2. And the area of the pool is 3×2=6…

Q: 31. The hypotenuse of the right triangle is 15 cm long. If each leg were decreased by 2 cm the…

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. Please post another…

Q: Suppose that a rectangular pen is to be constructed with a dividing fence which forms a square on…

A:

Q: Droblem 2: You are constructing a box. Hs base is a rectangle whose ratio of width to length is 5:3.…

A: Use formulas of cuboid

Q: 7. A factory is to be built on the inside of a lot that measures 80 m by 60 m. A lawn of uniform…

A: It is given that a factory needs to be built on the inside of a lot that measures 80m by 60m.

Q: We wish to construct the world's largest open-top cardboard box. We have exactly 800 square feet of…

A:

Q: 7. A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a…

A:

Q: A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges 90°.…

A:

Q: [5] A farmer with 2000 meters of fencing wants to enclose a rectangular plot for planting that…

A:

Q: An architect's building's length and width ratios are planned to be (5.5 : 2.25), without any height…

A: The maximum of a function is obtained by differentiating the function and equating it to 0 to find…

Q: A tinsmith wants to make a small windowsill planter from a 24⁢cm×16⁢cm sheet of copper. She’ll form…

A: Topic :- Algebra

Q: 7. A rectangular lot adjacent to a highway is to be enclosed by a fence on all four sides. If the…

A: in the question it is asked to calculate the dimensions of field as given in question. Given values.…

Q: If the width of a rectangle is 2cm more than one-half of its length and its perimeter is 40 cm, what…

A: Let the length of the rectangle be x. And The width of the rectangle be y.

Q: 2. Find the lengths of all sides of the right triangle below if its area is 400. 2x

A: Topic:- Geometry  X=20 2X =40 H =20√5

Q: A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by…

A: If the given figure, 'h' is the height of the box The length of the box is A-2h Width of the box is…

Q: A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the…

A: A 5 cm cube is cut into as many 1 cm cubes as possible. Length of an edge of larger cube is 5 cm and…

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.

Q: What is the height of the isosceles triangle with the greatest area that can be inscribed in a…

A: In order to solve the given question first we need to find a function in terms of a variable and…

Q: The ratio of width to height of a golden rectangle is given by the golden​ ratio, which is…

A: First we set the ratio to find the width.THen we do cross multiplication to get rid of fraction .