Question

A park is of square shape and one side of the park is 275 m long. A road 9 m wide has been constructed along the inner side of the boundary . Find the area of the road.

Answer 1

Answer:

area of road = 4869 sqm

Step-by-step explanation:

side of square park = s= 275m

area of square park = s × s = 275 × 275 = 275^2

width of road 9m all along inner side

side of inner square = s1 = 275 - 9 = 266

area of inner square = s1 = 266 × 266 = 266^2

area of road

$= {s}^{2} - {s1}^{2} \\ = {(275)}^{2} - {(266)}^{2} \\ = (275 - 266)(275 + 266) \\ = 9 \times 541 \\ = 4869 \: sqm$