Advertisements
Advertisements
प्रश्न
The area of a trapezium is 180 sq.cm and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm. Find the length of the parallel sides.
Advertisements
उत्तर
Let one of the parallel side be ‘a’ cm.
Given one parallel sides is longer than the other by 6 cm.
i.e. b = a + 6 cm
Also given height ‘h’ = 9 cm
Area of trapezium = 180 sq.cm
`1/2 xx "h" xx ("a" + "b")` = 180 cm2
`1/2 xx 9 xx ("a" + "a" + 6)` = 180
`1/2 xx 9 xx (2"a" + 6)` = 180
2a + 6 = `(180 xx 2)/9`
= 20 × 2
2a + 6 = 40
2a = 40 – 6
= 34
a = `34/2`
= 17 cm
b = a + 6
= 17 + 6
= 23 cm
∴ The parallel sides are a = 17 cm and b = 23 cm
APPEARS IN
संबंधित प्रश्न
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 difference of the area of a rectangle and the sum of the areas of two triangles.
The area of a trapezium is 960 cm2. If the parallel sides are 34 cm and 46 cm, find the distance between them.
The cross-section of a canal is a trapezium in shape. If the canal is 10 m wide at the top 6 m wide at the bottom and the area of cross-section is 72 m2 determine its depth.
Find the area of the field shown in Fig. 20.39 by dividing it into a square, a rectangle and a trapezium.
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 |
| 10 m | 12 m | 20 m |
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
Arivu has a land ABCD with the measurements given in the figure. If a portion ABED is used for cultivation (where E is the mid-point of DC), find the cultivated area.
The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is ______.
Find the area of the following fields. All dimensions are in metres.
