Question

A rectangle and a square are equal in area. The side of the square is 24m. If the length of the rectangle is 36m find the breadth of the rectangle. comment on their perimeters​

Answer 1

$area \: of \: square = {24}^{2} = 576$

$area \: of \: rectangle = l \times b \\ 576 = 36 \times b \\ b = \frac{576}{36} = 16$

$perimeter \: of \: rectangle = 2(16 + 36) \\ = 2 \times 52 \\ = 104m$

Answer 2

Step-by-step explanation:

square area is 24^2=576

we know rectangle area=square area

then,

rectangle area=breadth×length

576=36×length

length =576/36

length =16

now square perimetre =4× a

=4×24

=96

and rectangle perimetre =2(breadth × length)

b =2×(24+16)

=80m