Question

The area of trapezium is 68 sq. cm. and its height is 8 cm. If one of the parallel sides is 10 cm. then the other side is​

Answer 1

Answer:

Area of trapezium =68 cm^2

Sum of parallel sides*height=1/2*(b+a)h

Step-by-step explanation:

68=1/2(10+x)8

68/8=10+x

10+x=8.5

x=10-8.5

x=10.0-8.5

x=1.5

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Answer 2

Given:

The area of trapezium is 68 sq. cm.

The height of trapezium is 8 cm

Length of one parallel side is 10cm

To Find:

The length of the other side

Solution:

• A trapezium consists of four sides.
• Out of four sides two opposite sides are parallel and the other two opposite sides are non parallel.
• Area of trapezium is Half the sum of its parallel sides multiplied by its height.

Area of trapezium

= 1/2*(sum of its parallel sides)*Height

According to Question

One parallel side is 10cm

Let the other parallel side be l

So,

Area of the Trapezium = 1/2*(10+l)*8

68 =(8/2)*(10+l)

68/4 = (10+l)

17 = 10+l

l =17-10

l = 7

Hence, the other side is 7cm