Q.1. In a parallelogram it is given that
base = 14 dm and altitude = 6.5 dm. Find its area in (i) cm2 (ii) m2.
Q.2. The diameter of the wheel of a car is 70 cm. How many revolutions will it make to travel 99 km?
Q.3. The diameter of a circular park is 66 metres. On its outside, there is a 4 m wide path, running around it. Find the cost of turfing the path at ₹ 2.50 per square metre.
Q.4. Aariz rolls a wheel along a straight line AB. The distance of AB is 19.8 m and the wheel makes 15 rotations. What is the radius of the wheel in cm? ( π = 22/7 ).
Q.5. Four horses are tethered with ropes of same length at four corners of a square plot of side 14 m so that the adjacent horses can just reach one another. Find the ungrazed area.
Q.6. Vani makes a circular table cloth with a design as shown in the figure. If the inner circumference is 396 cm and width of the design is 7 cm. Find the radius of the cloth.
Q.7. The circumference of a circle exceeds its diameter by 18 cm. Find the radius of the circle.
Q.8. What is the ratio of the heights of two triangles which have equal base side and their areas are in the ratio 9 : 16?
Q.9. ABCD is a rectangle and PQ ^ BC. Find the area of shaded portion in the adjoining figure.
Q.10. The two adjacent sides of a parallelogram are 5 cm and 4 cm respectively and if the altitude is 2 cm corresponding to the side 5 cm, then find the length of altitude corresponding to the side 4 cm.
Q.11. 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.12. 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.13. 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.14. 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.15. 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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