Question

23. Two cross roads, each of width 10m, cut at right angles through the
centre of a rectangular park of length 800m and breadth 350m and
parallel to its sides. Find the area of the roads. Also find the area of the
park excluding cross roads. Give the answer in hectares.​

Answer 1

From Diagram:

PQ = 10 m, PS = 350 m, EH = 10 m, EF = 800 m, KL = 10 m and KN = 10 m.

Now,

Area of roads = Area of(PQRS + EFGH - KLMN)

                      = PS * PQ + EF * EH - KL * KN

                     = (350 * 10) + (800 * 10) - (10 * 10)

                     = 3500 + 8000 - 100

                     = 11400 m^2.

Then:

Area of road in hectares = 11400/10000

                                         = 1.14 hectares.

Now,

Area of park without roads:

= Area of park - Area of road

= (AB * AD) - 11400

= (800 * 350) - 11400

= 280000 - 11400

= 268600 m^2

= 28.86 hectares

Hope this will help you!