Question

Help!!

45. A square has the same perimeter as a 5 x 11 rectangle. What is the area of the
square?

Answer 1

The area of the square is = 64

Explanation:

The perimeter of rectangle = Perimeter of the square

The rectangle has a length (l) of 11 and a width (w) of 5.

The perimeter of a rectangle = 2·l×2·w = 2×11+2×5 = 32

The perimeter of a square = 4·s => Since the perimeter of the rectangle = the perimeter of the square we can find out the side of the square by using the formula in bold.

The perimeter of the square = 4·s = 32

s =
`(32)/(4)` = 8

The area of a square is = s×s = s²

The area of the square is = s² = 8² = 64