Given that the perimeter of a certain rectangle is 78 m and the breadth is 15 m. Find the area.

A: 24

B: 360

C: 472.5

D: 1170

Correct Answer : B

Given the perimeter and the length, we use the formulae for perimeter of a rectangle to get the length ;

P = 2(L + W)
78 = 2(L + 15)

78 = 2L + 30
78 - 30 = 2L
48 = 2L


To get L, we divide both sides by 2


L = ( 48 / 2 )
L = 42 m


Now that we have the length , we can calculate the area of the rectangle using its formulae


Area = length * width
Area = 42 m * 15 m
A = 630m²

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