Q4 of 38 Page 10

Let’s write the area of the square region in terms of m where the lengthof one side is (3m – 4) metre. Let’s calculate the value of m when perimeter of the square is 8 metre.

We know, area of square = (side)2


Given, side = (3m – 4) meters


⇒ Area of square = (3m – 4)2 m2


Also, Perimeter of square = 4 × side


Given, perimeter = 8 meters


⇒ 8 = 4 × (3m – 4)


⇒ 2 = 3m – 4


⇒ 3m = 4 + 2


⇒ 3m = 6


⇒ m = 2


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