Area and Perimeter Practice Test 2

Question : 19 of 40

Marks: +1, -0

A park square in shape has a 3m wide road inside it running along its sides. The area occupied by the road is 1764

m^2

. Find the perimeter along the outer edge of the road.

Solution:

Area of the road =

x^2 – (x – 6)^2

= 1764
⇒ 12x – 36 = 1764
⇒ 12x = 1800
∴ x =

{1800}/{12}

= 150 m
Hence, required perimeter = 4 × 150 = 600 m

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