The area of a trapezium is 210cm2.

Question

The area of a trapezium is 210 cm 2. The ratio between the lengths of its parallel sides is 3:4. If its height is 6 cm, find the length of both the parallel sides.

Answer 1

A=(1/2)(h)(B+b) is the formula for the area of a trapezoid

210=(1/2)(6)(3x+4x) (3 and 4 must be multiplied by some number, the same number, to get the lengths of the bases)

210=(3)(7x)

210=21x

x=210/21

x=10

the bases are 3*10=30 cm and 4*10=40 cm (the parallel sides are the bases)