Question

The length of a rectangular park is 700 m and its breadth is 300 m. Two crossroads, each of width 10 m, cut the centre of a rectangular park and are parallel to its sides. Find the area of the roads. Also, find the area of the park excluding the area of the crossroads.

Answer 1

Given

Length of the rectangular park = 700 m

Breadth of the rectangular park = 300 m

From the question,

PS = 10 m. PQ = 700 m

Area of PQRS = 10 × 700 = 7000m²

AB = 10m, AD = 300m

Area of ABCD = 300 x 10 = 3000m²

KL = 10m, KN = 10m

KLMN = 10 × 10 = 100m²

Area of the two paths = IQRS + ABCD – KLMN

= 7000 + 3000 – 100

= 9900m²

The remaining area of the park = Area of the whole park – Area of the two paths

= 700 × 300 – 9900

= 210000 – 9900

= 200100 q.m.