Question

The area of a trapezium is 540

.If the ratio of parallel sides is 7: 5 and

the distance between them is 18 ,find the length of parallel sides

Answer 1

area of trapezium is =1/2×(a+b)×height
let both sides ratio is x then
1/2×(7x+5x)18=540
1/2×12x×18=540 then x=5and length is 35 and 25

Answer 2

Answer :

35 and 25

Step-by-step explanation :

Let the parallel sides of a trapezium be 7x and 5x respectively.

According to the question ;

Area of trapezium = 540

⇒ 1 / 2 × sum of || sides × height = 540

⇒ 1 / 2 × ( 7x + 5x ) × 18 = 540

⇒ 9 ( 12x )  = 540

⇒ 108 x = 540

⇒ x = 540/ 108

⇒ x = 5

Their parallel sides are ;

7x = 7 × 5 = 35

5x = 5 × 5 = 25

Hence, the length of parallel sides are 35 and 25.