Advertisements
Advertisements
प्रश्न
The two parallel sides and the distance between them are in the ratio 3: 4: 2. If the area of the trapezium is 175 cm2, find its height.
उत्तर
Let the two parallel sides and the distance between them be 3x, 4x, 2x cm respectively
Area = `1/2` (sum of parallel sides) x (distance between parallel sides)
= `1/2` (3x + 4x) x 2x = 175 (given)
=> 7x x x = 175
=> 7x2 = 175
=> x2 = 25
=> x = 5
Height i.e. distance between parallel sides = 2x = 2 x 5 = 10 cm
APPEARS IN
संबंधित प्रश्न
Find the area, in square metres, of the trapezium whose bases and altitude is as under:
bases = 8 m and 60 dm, altitude = 40 dm
Find the altitude of a trapezium whose area is 65 cm2 and whose bases are 13 cm and 26 cm.
Find the sum of the lengths of the bases of a trapezium whose area is 4.2 m2 and whose height is 280 cm.
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.
The area of a trapezium is 960 cm2. If the parallel sides are 34 cm and 46 cm, find the distance between them.
Find the area of Fig. as the sum of the areas of two trapezium and a rectangle.
The area of a trapezium is 91 cm2 and its height is 7 cm. If one of the parallel sides is longer than the other by 8 cm, find the two parallel sides.
Mohan wants to buy a trapezium shaped field. Its side along the river is parallel and twice the side along the road. If the area of this field is 10500 m2 and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.
The area of a trapezium with equal non-parallel sides is 168 m2. If the lengths of the parallel sides are 36 m and 20 m, find the length of the non-parallel sides.
Find the area of the following fields. All dimensions are in metres.
