Question

The area of a trapezoid is 190cm2. The height is 20cm and the length of one of the parallel sides is 9cm. Find the length of the second parallel side. Express your answer as a simplified fraction or a decimal rounded to two places.

Answer 1

The length of second parallel side is 10 cm.

What is area of trapezium?

The area of trapezium,

= (a+ b)*h/2, where a and b are parallel side and h is the perpendicular distance between two parallel sides.

Given:

Area= 190 cm²

Height= 20cm

Length of one parallel side = 9 cm

Now the area of trapezium:

=(a+ b)*h/2

190= (a+9)*20/2

380/20=a+9

a= 19-9

a= 10 cm

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