Q. 24.8( 9 Votes )

# The length of the parallel sides of a trapezium are 19 cm and 13 cm and its area is 128 cm^{2}. The distance between the parallel sides is

A. 9 cm

B. 7 cm

C. 8 cm

D. 12.5 cm

Answer :

Given

Length of parallel sides is 19 cm and 13 cm

Area of trapezium= 128 cm^{2}

Let Height (h) =y cm

We know that area of trapezium is × (sum of parallel sides) × height

Therefore Area of trapezium is × (19 +13) × y =128 cm^{2}.

× (19 +13) × y =128

⇒ × (32) × y =128

⇒ 16 × y =128

⇒ y = = 8 cm

.^{.}. Distance between the parallel lines is 8 cm.

Rate this question :

The area of a trapezium is 960 cm^{2}. If the parallel sides are 34 cm and 46 cm, find the distance between them.

The parallel sides of a trapezium are 25 cm and 13 cm; its nonparallel sides are equal, each being 10 cm, find the area of the trapezium.

RD Sharma - MathematicsTop surface of a table is trapezium in shape. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.

RD Sharma - Mathematics

Find the area of a trapezium whose parallel sides are of length 16 dm and 22 dm and whose height is 12 dm.

RD Sharma - MathematicsFind the sum of the lengths of the bases of a trapezium whose area is 4.2 m^{2} and whose height is 280 cm.