Question

6. The area of a trapezium is 180 cm? and one of its parallel side is longer than the
other by 6 cm. Find the measure of both the sides if the altitude is 9 cm.​

Answer 1

Given

Area of a trapezium is 180 cm^2. One parralel side is longer than the other by 6 cm. The altitude is 9 cm.

To Find

Length of each side.

Assumption

Let one parallel side be x cm

Other parallel side = x + 6 cm

Answer and explanation

Area of a trapezium is altitude into sum of parallel sides divided by 2

That is

$area = \frac{1}{2} (x + y)h$

So put the values in it

$180 = \frac{1}{2} (x + x + 6) \times 9$

$180 = \frac{1}{2} (2x + 6) \times 9$

$\frac{180 \times 2}{9} = 2x + 6$

$40 = 2x + 6$

$34 = 2x$

$17 = x$

Thus x = 17 cm

So other side is x + 6 = 17 + 6 = 23 cm

mark me brainliest and follow me

Answer 2

Answer:

hope this helps u........................