Question

The area of a trapezium is 34 cm. sq. and the length of one the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

Answer 1

Step-by-step explanation:

The area of a trapezium is 34 cm2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side. Let the ... answer is 7cm

Answer 2

Let the length of other parallel side be b.

Length of one parallel side, a = 10 cm

hight, h = 4 cm and

Area of trapezium = 34 cm²

Formula for area of trapezium =$\boxed{\frac{1}{2}×(a+b)h}$

$\longrightarrow{ 34= \frac{1}{2}×(10+b)×4}$

$\longrightarrow{34=2×(10+b)}$

$\longrightarrow{2×(10+b)=34}$

$\longrightarrow{10+b=\frac{34}{2}}$

$\longrightarrow{10+b=17}$

$\longrightarrow{b=17-10}$

$\longrightarrow{b=7}$

Hence, another required parallel side is 7 cm