Chapter 11 – Perimeter and Area
Assignment 3
Q.1. The diameter of the wheel of a car is 70 cm. How many revolutions will it make to travel 99 km?
Q.2. In a parallelogram it is given that base = 14 dm and altitude = 6.5 dm. Find its area in (i) cm2 (ii) m2.
Q.3. The base of a triangular field is three times its altitude. If the cost of cultivating the field at ₹ 280 per hectare is ₹ 3780, find its base and altitude.
Q.4. How many revolutions should a wheel of radius 140 cm make to cover a rectangular field once of length 120 m and breadth 100 m?
Q.5. ABCD is a diameter of a circle of radius 6 cm such that AB = BC = CD. Semicircles are drawn on AB and BD as diameters, as shown in the given figure. Find the area of the shaded region.
Q.6. A rectangular lawn measuring 50 m by 36 m, is surrounded externally by a path which is 2 m wide. Find the area of the path. Also calculate the cost of levelling the path at ₹ 2.50 per m2.
Q.7. Use the figure showing the layout of a farm house:
(a) What is the area of land used to grow hay?
(b) It costs ₹ 91 per m2 to fertilise the vegetable garden. What is the total cost?
(c) A fence is to be enclosed around the house. The dimensions of the house are 18.7 m × 12.6 m. At least how many metres of fencing are needed?
(d) Each banana tree required 1.25 m2 of ground space. How many banana trees can there be in the orchard?
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