Question

The perimeter of a rectangle is equal to the perimeter of square of area 36cmsquare.the breadth of the rectangle is 4 cm . what is the length and area of the rectangle?

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Answer 1

Answer:

8 cm

Step-by-step explanation:

let the length of the side of square = x cm

area of square = side x side

according to question

x * x= 36 cm sq.

x sq = 36

x = sqrt{36}

x = 6 cm

now perimeter of square = 4 x side

= 4 x 6

= 24 cm

let the length of rectangle (l)= y cm

breadth (b) = 4 cm

perimeter of rectangle = 2(l+b)

= 2(y+4)

according to question

perimeter of rectangle = perimeter of square

2(y+4) = 24

y+4 = 24/2

y+4 = 12

y = 12-4

y = 8 cm

length of rectangle = 8cm