Q.

The perimeter of a rectangle is 135 cm. If the breadth of the rectangle is 35 cm, find its length. Also find the area of the rectangle.

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a

l=32.5cm , area=1137.5 cm2

b

l=28.5cm , area=1167.5 cm2

c

l=37cm , area=1139 cm2

d

l=24cm , area=1224 cm2

answer is A.

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Detailed Solution

Given, Perimeter = 135 cm , 

Breadth = 35 cm

Perimeter = 2 (Length + Breadth) 

2 (Length + Breadth) = 135

(Length + 35) = 1352

Length + 35  = 67.5 cm

Length = 67.5 − 35 = 32.5 cm

Area = Length × Breadth = 32.5 × 35 = 1137.5 cm2

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The perimeter of a rectangle is 135 cm. If the breadth of the rectangle is 35 cm, find its length. Also find the area of the rectangle.