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Answer :

Length of the road parallel to the length of the park = 700 m

Width of the road = 10 m

\(\therefore \) Area of the road = l × b = 700 m × 10 m = 7000\( m^2 \)

Length of the road parallel to the breadth of the park = 300 m

Width of the road = 10 m Area of this road = l × b = 300 m × 10 =\( 3000 m^2 \)

Area of the both roads
= \( 7000 m^2 + 3000 m^2 \)– Area of the common portion

=\( 10,000 m^2 – 10 m × 10 m = 10,000 m^2 – 100 m^2 \)

\(= 9900 m^2 = 0.99 hactare \)

Area of the park = l × b = 700 m × 300 m = \(210000 m^2 \)

Area of the park without the roads

=\( 210000 m^2 – 9900 m^2 \) =\( 200100 m^2 = 20.01 hactare \)

- Q.1 A garden is 90 m long and 75 m broad. A path 5 m wide is to be built outside and around it. Find the area of the path. Also find the area of the garden in hectare.
- Q.2 . A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Find the area of the path.
- Q.3 A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1. 5 cm along each of its sides. Find the total area of the margin.
- Q.4 A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. Find: (i) the area of the verandah. (ii) the cost of cementing the floor of the verandah at the rate of Rs. 200 per \( m^2. \)
- Q.5 A path 1 m wide is built along the border and inside a square garden of side 30 m. Find: (i) the area of the path (ii) the cost of planting grass in the remaining portion of the garden at the rate of Rs. 40 per \( m^2.\)
- Q.7 Through a rectangular field of length 90 m and breadth 60 m, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is 3 m, find (i) the area covered by the roads. (ii) the cost of constructing the roads at of the rate of Rs. 110 per\( m^2. \)
- Q.8 Pragya wrapped a card around a circular pipe of radius 4 cm and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm (also shown). Did she have any cord left? (\(\pi \)= 3.14)
- Q.9 The given figure represents a rectangular lawn with a circular flower bed in the middle. Find: (i) the area of the whole land. (ii) the area of the flower bed. (iii) the area of the lawn excluding the area of the flower bed. (iv) the circumference of the flower bed.
- Q.10 In the following figures, find the area of the shaded portion.
- Q.11 Find the area of the quadrilateral ABCD. Here, AC = 22 cm, BM = 3 cm, DN = 3 cm, and BM \(\perp \)AC, DN \(\perp \)AC.

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