Question

The area of a trapeziumis 400cm²,the distance between the parallel sides is

16 cm.If one of the parallel sides is 20 cm,find the length of the other side​

Answer 1

To Find:-

• Find the length of the parallel side.

Given:-

• The area of trapezium is 400cm².
• The distance between the parallel sides is 16 cm.
• If one of the parallel side is 20 cm.

Solution:-

We know,

• One of the parallel side is 20 cm.
• And the area of the trapezium is 400 cm ²
• Distance between the parallel sides is 16 cm.

$\tt{ \: Area \: \: of \: Trapezium \: = \: \frac{1}{2} \: \times \: ( \: a \: + \: b \: ) \: \times \: h \: }$

Let the other side be " x "

️ ➭ 400 = 1/2 × ( 20 + x ) × 16

️ ➭ 400 = 8 ( 20 + x )

️ ➭ 400 = 160 + 8x

️ ➭ 400 - 160 = 8x

️ ➭ 240 = 8x

️ ➭ x = 240/8

️ ➭ $\tt\boxed {{ \: x \: = \: 30cm \: }}$

So,

The length of the trapezium is 30cm.

Answer 2

Step-by-step explanation:

area of trapezium =400cm²

perpendicular distance between them =16cm

one of the parallel sides is 20cm

other parallel side =x

area of trapezium =1/2×16(20+x)=400

or,20+x=400×2/16

or,20+x=50

or,x=50-20=30

length of other parallel side is 30 cm