A square and a rectangle have the same area. if the dimensions of the rectangle are 4 ft. by 16 ft., how long is a side of the square? answer options with 5 options a. 10 ft. b. 8 ft. c. 32 ft. d. 6 ft. e. 20 ft.

Question

Sierra Hernandez

Mathematics

6 January, 21:56

A square and a rectangle have the same area. if the dimensions of the rectangle are 4 ft. by 16 ft., how long is a side of the square? answer options with 5 options a. 10 ft. b. 8 ft. c. 32 ft. d. 6 ft. e. 20 ft.

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Jaelyn Cook · Answer 1

B

because the area of a rectangle is length times width.

So 4x16=64

Now we know that a square's area is one of the sides multiplied by itself.

So we could say its y//2.

If we set these up to each other since the area of the rectangle is equal to the area of the square. it would look something like this.

64=y//2

If we take the square root of both side we would get y=8.

So one side of the square, y, is a total length of 8.