A trapezium and a parallelogram have the same height of 10 cm and the same area. The parallelogram has base 18 cm.
If the trapezium's parallel sides are 14 cm and $x$ cm, find $x$ .

Question

A trapezium and a parallelogram have the same height of 10 cm and the same area. The parallelogram has base 18 cm. If the trapezium's parallel sides are 14 cm and x cm, find x.

Accepted Answer

22. Parallelogram area = 18 x 10 = 180. Trapezium: 1/2(14 + x)(10) = 180, so 14 + x = 36, x = 22 cm.

A trapezium and a parallelogram have the same height of 10 cm and the same area. The parallelogram has base 18 cm.
If the trapezium's parallel sides are 14 cm and $x$ cm, find $x$ .

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Area of a Trapezium practice

A trapezium and a parallelogram have the same height of 10 cm and the same area. The parallelogram has base 18 cm.If the trapezium's parallel sides are 14 cm and x cm, find x.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Area of a Trapezium practice

A trapezium and a parallelogram have the same height of 10 cm and the same area. The parallelogram has base 18 cm.
If the trapezium's parallel sides are 14 cm and $x$ cm, find $x$ .