The parallel sides of a trapezium are in the ratio $3:5$. Their height is $8$ cm and the area is $128 ext{ cm}^{2}$. Find the longer parallel side.

Question

The parallel sides of a trapezium are in the ratio $3:5$. Their height is $8$ cm and the area is $128 	ext{ cm}^{2}$. Find the longer parallel side.

Aicharya · Accepted Answer

Let parallel sides be $3x$ and $5x$. Area $= \dfrac{1}{2}(3x+5x)\cdot 8 = 32x = 128 \Rightarrow x = 4$. Longer side $= 5x = 20$ cm.

The parallel sides of a trapezium are in the ratio $3:5$. Their height is $8$ cm and the area is $128 \text{…