help!if the area of a trapezium is 91 cmsquare and its height is 7 cm.if one of the parellel sides is larger?

Question

than the other by 8cm .find the two parellel sides?

Answer 1

The formula for the area of a trapezium is A = (a+b)*h/2

where a and b are the short and long parallel sides, and h is the height.

Here b = a+8

91 = (2a+8)*7/2
182/7 = 2a + 8
2a = 18
a = 9 cm

Hence b = 17 cm