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General

Easy

Question

# If the distance between the shorter sides of a parallelogram is 16 m, the sides of a parallelogram are 24m and 18m. Find the distance between its longer side

Hint:

### we know all the side lengths of parallelogram and distance between two

shorter sides is 16 m .we find the area of trapezium by taking the shorter side as base.

find the area of Trapezium = ½ height × (sum of lengths of parallel sides).

Now, we find the area of trapezium by taking the longer side as base and equate it to

get the distance between longer sides.

## The correct answer is: Distance between longer side is 12 m

### Ans :- 12 m.

Explanation :-

Given the sides are 24 m and 18 m sides where 18 m sides are shorter sides.

Step 1:- find the area of trapezium by taking the shorter side as base

Base = 18 m; Height = 16 m(given)

Area of parallelogram = base × height = 18 × 16 = 288 m^{2} .

Step 2:- find the area of trapezium by taking the longer side as base

Base = 24 m; let Height = h m

Area of parallelogram = base × height = 24 × h = 24h cm^{2} .

Step 3:- equate both areas above

We get , 24h = 288 ; h = 288/24

h = 12 m .

Therefore, Distance between longer sides is 12 m

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