Mathematics

The perimeter of a rectangle is 81 m and its breadth is 12 m. Find its length and area.

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Given,

Perimeter = 81 m

Breadth (b) = 12 m

Let length of rectangle = l meters

By formula,

Perimeter = 2(l + b)

⇒ 81 = 2(l + 12)

⇒ l + 12 = $\dfrac{81}{2}$

⇒ l + 12 = 40.5

⇒ l = 40.5 - 12 = 28.5 m.

Area = l × b

= 28.5 × 12 = 342 m².

Hence, length = 28.5 m and area = 342 m².

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