The area of a trapezium is 262.5 sq cm and the perpendicular distance between its parallel sides is 15 cm. What is the sum of its parallel sides?

Open in App

Solution

Area of the trapezium is 262.5 sq cm.
Perpendicular distance between these sides = Height = 15 cm
Area of a trapezium = $\frac{1}{2}$ (Sum of lengths of parallel sides) × (Height)
262.5 sq cm = $\frac{1}{2}$ × (Sum of lengths of parallel sides) × 15 cm
∴ The sum of lengths of parallel sides = 35 cm.

Suggest Corrections

Similar questions

The distance between parallel sides of a trapezium is $15 c m$ and the length of the line segment joining the mid-points of its non-parallel sides is $26 c m$ . Find the area of the trapezium.

Q. Find the area of a trapezium if the distance between its parallel sides is 26 cm and one of the parallel sides is 84 cm, the other parallel side is half of the perpendicular distance between the parallel sides.

Q. The parallel sides of a trapezium are

15 c m

and

9 c m .

The distance between them is

5 c m

. A rectangle has the same area as the trapezium. If its length is

10 c m,

what is its breadth?

Find the area of a trapezium if the distance between its parallel sides is 26 cm and one of the parallel sides is 84 cm, the other parallel side is half of the perpendicular distance between the parallel sides.

Q. The length of the parallel sides of a trapezium are 8.7 cm and 5.3 cm. If the perpendicular distance between them is 4.5 cm, what is its area?

Join BYJU'S Learning Program

The area of a trapezium is 262.5 sq cm and the perpendicular distance between its parallel sides is 15 cm. What is the sum of its parallel sides?

Area of the trapezium is 262.5 sq cm. Perpendicular distance between these sides = Height = 15 cm Area of a trapezium = 12 (Sum of lengths of parallel sides) × (Height) 262.5 sq cm = 12 × (Sum of lengths of parallel sides) × 15 cm ∴ The sum of lengths of parallel sides = 35 cm.