Find the length and breadth of the rectangle given below if its perimeter is 72m.
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Find the length and breadth of the rectangle given below if its perimeter is 72m.
Find the length and breadth of the rectangle given below if its perimeter is 72m.
Length of the rectangle = 5x + 4
Breadth of the rectangle = x – 4
Perimeter of the rectangle = 2 x (length + breadth)
= 2x[(5x + 4)+(x – 4)]
= 2[5x + 4 + x – 4]
= 2(6x)
= 12x
By problem, 12x = 72
x = 72/12 (transposing x 12)
x = 6
∴ Length of the rectangle = 5x + 4 = 5 x 6.4 = 34cm
Breadth of the rectangle = x – 4 = 6 – 4 = 2cm