Question

Two cross Road, each of width 5 ,run at right angles through centre of rectangular park of length 70 m and breadth 45 m and parallel to its sides . Find the area of the roads . Also find the cost of constructing the roads at the rate of rupees 105 per m square

Answer 1

It was an easy question!!

Answer 2

Solution:

Given:

Two cross Road, each of width 5 ,run at right angles through centre of rectangular park of length 70 m and breadth 45 m and parallel to its sides.

Find:

Find the area of the roads . Also find the cost of constructing the roads at the rate of rupees 105 per m².

Calculations:

Area of the cross roads in the area of shaded part The area of the rectangle PQRS are the area of the rectangle EFGH. The area of the square KLMN is taken twice and this is to be subtracted.

• PQ = 5 m and PS = 45 m.
• EH = 5 m and EF = 70 m.
• KL = 5 m and KN = 5 m.

Area of the path = Area of the rectangle PQRS + area of the rectangle EFGH - Area of the square KLMN.

=> PS × PQ + EF × EH - KL × KN

=> (45 × 5 + 70 × 5 - 5 × 5) m²

=> (225 + 350 - 25) m² = 550 m²

Therefore, cost of constructing the path = ₹105×550 = ₹ 57,750 .

#AnswerWithQuality

#BAL