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 right angles through the centre of the fields. If the width of each road is $3 m$ , find the cost of constructing the roads at the rate of $R s . 110$ per $m^{2}$ .

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Solution

R.E.F. Image.
Given length of field = 90 m
width of field = 60 m.
Area of field $= 90 \times 60$
Area $= 5400 m^{2}$

length of road GEFH = 90 m.
length of road ABCD = 60 m.

width of each road = 3m [Given].

Area of roads $= a r (A B C D) + a r . (G E F H) - a r (L I J K)$
$= 90 \times 3 + 60 \times 3 - 3 \times 3$
$= 270 + 180 - 9$

Area of roads $= 441 m^{2} .$
$∴$ Area covered by roads $= 441 m^{2} .$
cost of construction of roads $= 441 \times 10$
Total cost $= 4410 R s .$

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Similar questions

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 the rate of Rs 110 per m².

Question 7 (ii)

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 center of the fields. If the width of each road is 3 m, find:
The cost of constructing the roads at the rate of ₹ 110 per $m^{2}$

Q. Through a rectangular field of length,

90 m

and breadth

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two roads are constructed which are parallel to the sides and cut each other right angles through the center of the fields. If the width of each road is

3 m

, find the area converted by the roads.

Q. 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 3m. Find :
i) The area covered by the roads.
ii) the cost of constructing the roads at the rate of ₹ 110 per m²

The area covered by the roads

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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 right angles through the centre of the fields. If the width of each road is 3 m, find the cost of constructing the roads at the rate of Rs. 110 per m2.