Q2 of 157 Page 38

Frame and solve the equations for the following statements:

The breadth of a rectangle is 8 cm less than its length. If the perimeter is 60 cm, find its length and breadth.

Let breadth of rectangle = x


Then length of rectangle = x + 8


Perimeter = 60 cm


We know that,


Perimeter of rectangle = 2 (length of rectangle + breadth of rectangle)


⇒ 60 = 2(x + (x + 8))


⇒ 60 = 2(x + x + 8)


⇒ 60 = 2(2x + 8)


⇒ 60 = 4x + 16


⇒ 4x = 60 – 16


⇒ 4x = 44


⇒ x = 11


⇒ x + 8 = 11 + 8 = 19


Hence, breadth of rectangle = 11 cm


length of rectangle = 19 cm


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