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
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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