Question

The perimeter of a parallelogram is 180 cm. One side exceeds the other by 10 cm. What are the lengths of adjacent sides of the parallelogram?.
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Answer 1

The lengths of adjacent sides of the parallelogram are 40 cm and 50 cm.

What is a parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

Now, suppose a and be are two sides of parallelogram

Then, Perimeter P = 2( a+ b)

Now, it is given that perimeter of a parallelogram is 180 cm.

⇒ 2( a+ b) = 180

⇒ a + b = 90

It is also given that one side exceeds the other by 10 cm.

⇒ a = b + 10

Putting the value of a in above equation we get,

b + 10 + b = 90

⇒  2b = 90 - 10

⇒  2b = 80

⇒  b = 40 cm

Similarly,  a = b + 10

⇒  a = 40 + 10

⇒  a = 50 cm

Hence, the required sides of parallelogram are 40cm and 50cm.

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