the area of trapezium is 385 cm2 and its altitude is 14 cm the difference betwee...

October 2021 2 78 Report

the area of trapezium is 385 cm2 and its altitude is 14 cm the difference between parallel side is 5 cm then find their length

The parallel sides are 30 cm and 25 cm

Step-by-step explanation:

$Area of trapezium = \frac{1}{2}(\text{Sum of parallel sides}) \times height$

Its altitude is 14 cm

So, $Area of trapezium = \frac{1}{2}(\text{Sum of parallel sides}) \times 14$

We are given that the area of trapezium is 385 sq.cm.

So, $\frac{1}{2}(\text{Sum of parallel sides}) \times 14 =385$

$\text{Sum of parallel sides} = \frac{385 \times 2}{14}$

$\text{Sum of parallel sides} = 55$

Let the parallel sides be x and y

So, x+y=55 ---1

The difference between parallel side is 5 cm

x-y=5 -----2

Add 1 and 2

2x=60

x=30

x+y=55

30+y=55

y=55-30=25

Hence The parallel sides are 30 cm and 25 cm

#Learn more:

The area of a trapezium is 96 cm2. The length of the parallel sides are 18 cm and 14 cm. Find its height