Advertisements
Advertisements
Question
Find the area of a trapezium whose parallel sides are of length 16 dm and 22 dm and whose height is 12 dm.
Advertisements
Solution
Given:
Lengths of the parallel sides are 16 dm and 22 dm.
And, height between the parallel sides is 12 dm.
Area of trapezium \[\frac{1}{2}\times(\text{ Sum of the parallel sides })\times(\text{ Height })\]
\[ = \frac{1}{2} \times (16 + 22) \times (12)\]
\[ {=228 dm}^2 \]
\[ = 228 \times dm\times dm\]
\[=228\times\frac{1}{10}m\times\frac{1}{10}m\]
\[ = 2 . 28 m^2\]
RELATED QUESTIONS
Length of the fence of a trapezium shaped field ABCD is 120 m. If BC = 48 m, CD = 17 m and AD = 40 m, find the area of this field. Side AB is perpendicular to the parallel sides AD and BC.

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.
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.
In Fig. 20.38, a parallelogram is drawn in a trapezium, the area of the parallelogram is 80 cm2, find the area of the trapezium.
Find the area of the pentagon shown in fig. 20.48, if AD = 10 cm, AG = 8 cm, AH = 6 cm, AF = 5 cm, BF = 5 cm, CG = 7 cm and EH = 3 cm.
☐ PQRS is an isosceles trapezium l(PQ) = 7 cm. seg PM ⊥ seg SR, l(SM) = 3 cm, Distance between two parallel sides is 4 cm, find the area of ☐ PQRS.

The following figure shows the cross-section ABCD of a swimming pool which is a trapezium in shape.

If the width DC, of the swimming pool, is 6.4 m, depth (AD) at the shallow end is 80 cm and depth (BC) at the deepest end is 2.4 m, find its area of the cross-section.
Find the missing values.
| Height 'h' | Parallel side 'a` | Parallel side 'b` | Area |
| 19 m | 16 m | 323 sq.m |
A trapezium with 3 equal sides and one side double the equal side can be divided into ______ equilateral triangles of ______ area.
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.
