Question

there is 3 meters wide lawn all along the out side the rectangular plot whose perimeter is 114 meters. what is area of lawn.

Answer 1

Answer:

162 meters

Explanation:

The width of the lawn (W) = 3 meters

Let the length of the lawn (L) = l meters

Perimeter of the lawn = 114 meters

Perimeter of a Rectangle(P) = 2(Length of the Rectangle+ Width of the Rectangle)

Perimeter of the Lawn (P) = 2(L + W)

=> 114 = 2(l + 3)

=> 114 = 2l + 6

=> 2l = 114 - 6

=> 2l = 108

=> l = 54

The area of the lawn (A) = Length of the Lawn (L) x Width of the Lawn (W)

=> A = 54 x 3

=> A = 162 meters