Question

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?
A 10 ft
B. 8 ft
C 32 ft
D. 6ft
E 20 ft

Answer 1

9514 1404 393

Answer:

  B. 8 ft

Step-by-step explanation:

The area of the rectangle is ...

  A = LW = (16 ft)(4 ft) = 64 ft²

The area of the square in terms of its side length is ...

  A = s²

For the square to have the area of the rectangle, its side length must be ...

  64 ft² = s²

  s = √(64 ft²) = 8 ft

A side of the square is 8 feet long.