Advertisements
Advertisements
Question
A ground is in the form of isosceles trapezium with parallel sides measuring 42 m and 36 m long. The distance between the parallel sides is 30 m. Find the cost of levelling it at the rate of ₹ 135 per sq.m
Advertisements
Solution
Parallel sides of the trapezium a = 42 m, b = 36 m
Also height h = 30 m
Area of the trapezium = `1/2` × h × (a + b) sq.unit
= `1/2` × 30 × (42 + 36) m2
= `1/2` × 30 × 78 m2
Area = 1,170 m2
Cost of levelling 1 m2 = ₹ 135
∴ Cost of levelling 1170 m2
= ₹ 1170 × ₹ 135
= ₹ 1,57,950
Cost of levelling the ground = ₹ 1,57,950
APPEARS IN
RELATED QUESTIONS
Find the area, in square metres, of the trapezium whose bases and altitude is as under:
bases = 150 cm and 30 dm, altitude = 9 dm.
Find the area of trapezium with base 15 cm and height 8 cm, if the side parallel to the given base is 9 cm long.
Find the area of a trapezium whose parallel sides are of length 16 dm and 22 dm and whose height is 12 dm.
Find the area of a trapezium whose parallel sides of lengths 10 cm and 15 cm are at a distance of 6 cm from each other. Calculate this area as
the sum of the areas of two triangles and one rectangle.
Top surface of a table is trapezium in shape. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.
Find the area enclosed by each of the following figures [Fig. 20.49 (i)-(iii)] as the sum of the areas of a rectangle and a trapezium:
The area of a trapezium is 279 sq.cm and the distance between its two parallel sides is 18 cm. If one of its parallel sides is longer than the other side by 5 cm, find the lengths of its parallel sides.
Find the area of a trapezium whose parallel sides are 24 cm and 20 cm and the distance between them is 15 cm
The area of a trapezium is 1586 sq.cm. The distance between its parallel sides is 26 cm. If one of the parallel sides is 84 cm then find the other side
When the non-parallel sides of a trapezium are equal then it is known as
