Question

Two cross roads, each of width 10 m, cut at right angles through the centre of a rectangular park of length 700 m and breadth 300 m and parallel to its sides. Find the area of the roads. Also find the area of the park excluding cross roads

Answer 1

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❥area of the roads=0.99 hectare✔

❥area of the park,

excluding cross roads= 20.01 hectare✔

$\huge\bf\underline{\red{E}\green{X}\orange{P}\pink{L}\red{A}\purple{N}\orange{A}\blue{T}\red{I}\purple{O}N}$

☞ Given:

• ABCD is a rectangle.
• Length of park (l) = 700 m
• Breadth of park (b) = 300 m

☞ Solution:

⟹ Area of park ABCD= 700 × 300 = 210000 m^2

Length of road EFGH = 700 m

Length of road PQRS = 300 m

∵ Width of each road = 10 m.

∴ KLMN is a square of side 10 m.

⟹ Area of two roads =

• area (EFGH) + area (PQRS) – area (KLMN)
• = (700 × 10) + (300 × 10) – (10 × 10)
• = 7000 + 3000 – 100
• = 10000 – 100 = 9900 m2
• = 990010000 hectare
• = 0.99 hectare (∵ 1 hectare = 10000 m2)

⟹ Area of park excluding roads = 210000 – 9900

• = 200100 m^2
•  = 20010010000 hectare
• = 20.01 hectare

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