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
The area of a trapezium is 34 cm2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.
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.
If the area of a trapezium is 28 cm2 and one of its parallel sides is 6 cm, find the other parallel side if its altitude is 4 cm.
The area of a trapezium is 1080 sq.cm. If the lengths of its parallel sides are 55.6 cm and 34.4 cm. Find the distance between them
The sunshade of a window is in the form of isosceles trapezium whose parallel sides are 81 cm and 64 cm and the distance between them is 6 cm. Find the cost of painting the surface at the rate of ₹ 2 per sq.cm
The area of the trapezium, if the parallel sides are measuring 8 cm and 10 cm and the height 5 cm is
In a trapezium if the sum of the parallel sides is 10 cm and the area is 140 sq.cm, then the height is
When the non-parallel sides of a trapezium are equal then it is known as
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 shaded portion in the following figure.
