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# square

1. ### If the perimeter of square C is triple the perimeter of square D, the area of square C is how many t

If the perimeter of square C is triple the perimeter of square D, the area of square C is how many times the area of square D? A. 1/3 B. 1 C. 3 D. 9 E. 27 Let side of D be s. Perimeter is 4s. Area is (4s)^2 = 16s^2 Let side of C be 3s. Perimeter is 4(3s) = 12s. Area is (12s)^2 = 144s^2...
2. ### A rectangle is cut in half to create two squares that each has an area of 25. What is the perimeter

A rectangle is cut in half to create two squares that each has an area of 25. What is the perimeter of the original rectangle? A. 20 B. 25 C. 30 D. 50 Area of a square: A = s^2 We're given A = 25: s^2= 25 s = 5 This means the rectangle width is 5. The rectangle length is 2(5) = 10...
3. ### How many inches are in a square foot?

How many inches are in a square foot? Square area is s * s where s = 12 inches per foot Area = 12 inches per foot * 12 inches per foot Area = 144 square inches
4. ### What is the ratio of the area of a circle to the area of a square drawn around that circle? Express

What is the ratio of the area of a circle to the area of a square drawn around that circle? Express your answer in terms of pi. Area of a circle = pir^2 area of a square = (2r)^2 = 4r^2 Ratio = pir^2/4r^2 Ratio = pi/4
5. ### Laura found a roll of fencing in her garage. She couldn't decide whether to fence in a square garden

Laura found a roll of fencing in her garage. She couldn't decide whether to fence in a square garden or a round garden with the fencing. Laura did some calculations and found that a circular garden would give her 1380 more square feet than a square garden. How many feet of fencing were in the...
6. ### When the side of a square is doubled in length, its area increases by 432 square inches. What is the

When the side of a square is doubled in length, its area increases by 432 square inches. What is the size of the original square? Original square side length is s Area = s^2 Double the side lengths to 2s New area = (2s)^2 = 4s^2 Setup the difference relation: 4s^2 - s^2 = 432 3s^2 = 432...
7. ### Kris wants to fence in her square garden that is 40 feet on each side. If she places posts every 10

Kris wants to fence in her square garden that is 40 feet on each side. If she places posts every 10 feet, how many posts will she need? Perimeter (P) of a square with side s: P = 4s Given s = 40, we have: P = 4(40) P = 160 feet 160 feet / 10 foot spaces = 16 posts
8. ### Kamara has a square fence kennel area for her dogs in the backyard. The area of the kennel is 64 ft

Kamara has a square fence kennel area for her dogs in the backyard. The area of the kennel is 64 ft squared. What are the dimensions of the kennel? How many feet of fencing did she use? Explain. Area of a square with side length (s) is: A = s^2 Given A = 64, we have: s^2 = 64 Typing this...
9. ### Each side of a square is lengthened by 3 inches . The area of this new, larger square is 25 square

Each side of a square is lengthened by 3 inches . The area of this new, larger square is 25 square inches. Find the length of a side of the original square. area of a square is s^2 New square has sides s + 3, so the area of 25 is: (s + 3)^2 = 25 Solving for s, we get: s = 2
10. ### The perimeter of a square with side a

The perimeter of a square with side a Perimeter of a square is 4s where s is the side length. With s = a, we have: P = 4a
11. ### A square has a perimeter of 24 inches. What is the area of the square?

A square has a perimeter of 24 inches. What is the area of the square? Perimeter of a square = 4s where s = the length of a side. Therefore, we have: 4s = P 4s = 24 Using our equation solver, we type in 4s = 24 and get: s = 6 The problems asks for area of a square. It's given by A = s^2...
12. ### 4 rectangular strips of wood, each 30 cm long and 3 cm wide, are arranged to form the outer section

4 rectangular strips of wood, each 30 cm long and 3 cm wide, are arranged to form the outer section of a picture frame. Determine the area inside the wooden frame. Area inside forms a square, with a length of 30 - 3 - 3 = 24. We subtract 3 twice, because we account for 2 rectangular strips with...