Question

The area of trapezium is 171 m². If the difference between the lengths of two parallel sides is 9 m and the distance between them is 15 m, find the lengths of two parallel sides.​

Answer 1

$\huge\underline\mathtt\red{Answer:}$

Step-by-step explanation:

let the two sides be x and y

According to question,

x - y = 9

x = 9 + y

Area of trapezium→

$\frac{1}{2}(x + y)15$

$171 = \frac{1}{2}(9 + y + y)15$

$342 = (9 + 2y)15$

$135 + 30y = 342$

$30y = 207$

$\color{green}y = \frac{207}{30} = 6.9m$

$\color{blue}x = 9 - 6.9 = 2.1m$