Question

The perimeter of a square is 192 cm. The area of a rectangle is 104 cm2 less than the area of the square. If the breath of the rectangle is 44cm. Then it’s perimeter is

Answer 1

Step-by-step explanation:

The perimeter of a square is 192 cm.

4×S = 192

S = 192/4

S= 48 cm

side of the square= 48 cm

area of square S×S= 48×48= 2304

The area of a rectangle is 104 cm2 less than the area of the square.

length= k

If the breath of the rectangle = 44cm.

area of rectangle= length × breadth

2304-104 = 44k

2200= 44k

2200/44= k

k= 50 cm

length= k= 50cm

Then it’s perimeter = 2(l+b)

= 2(50+44))

= 2(94)

= 188 cm

the perimeter= 198 cm