Answer:
The area of the square is = 64
Step-by-step 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 = [tex]\frac{32}{4}[/tex] = 8
The area of a square is = s×s = s²
The area of the square is = s² = 8² = 64
