Question

A parallelogram has an area of 150

. If the distance between its opposite sides are 15 cm and 25 cm. Find

the sides of the parallelogram​

Answer 1

Step by step Solution:

Given:A parallelogram has an area of 150 cm²

If the distance between its opposite sides are 15 cm and 25 cm.

To find:Find the sides of the parallelogram.

Solution:

Tip: Use formula of area of Parallelogram

$area \: of \: parallelogram = base \times perpendicular \: height$

Case 1:

Base AB

Perpendicular height:DE= 15 cm

Area= 150 cm²

*See attached figure.

$150 = AB \times 15 \\ \\ AB = \frac{150}{15} \\ \\ AB = 10 \: cm$

Case 2:

Base AD

Perpendicular height:BF= 25 cm

Area= 150 cm²

$150 = AD\times 25 \\ \\ AD= \frac{150}{25} \\ \\ AD = 6 \: cm$

Thus,

Sides of Parallelogram are 10 cm and 6 cm.

Opposite sides are equal.

AB=CD= 10 cm

CB=AD=6 cm

Hope it helps you.

*Note:The Parallelogram with given specifications is practically not possible.But,to show the solving procedure,an answer is provided here.

To learn more on brainly:

1)The adjacent sides of a parallelogram are 15cm and 10cm .If the distance between the longer sides is 6cm , find the dist...

https://brainly.in/question/2194807

Answer 2

Answer:

Sides of Parallelogram are 10 cm and 6 cm.