Question

The difference between the length and breadth of a rectangle is 46 m.

If the perimeter is 360 m ,then its area will be

a)7520 m2

b)7502 m2

c)7571m2

d)None of these​

Answer 1

7502 m square

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Answer 2

Let Length be = L

and Breadth = B

Given L - B = 46 ----- (1)

Perimeter = 360m

Perimeter of rectangle = 2(L + B)

360 = 2(L + B)

L + B = 360/2

L + B = 180 ---- (2)

Adding (1) and (2)

2L = 226

L = 226/2

L = 113 m

substitute value of L in (1)

113 - B = 46

B = 113 - 46

B = 67m

Area of rectangle = L × B

= 113 × 67

Area = 7571m²

Option (c) is the answer