Question

A playground in the town is in the form of a kite. The perimeter is 106 metres. If one of its sides is 23 metres, what are the lengths of other three sides?

Answer 1

Let the length of other non-consecutive side be x cm.

Then, we have, perimeter of playground = 23 + 23 + x + x

⇒ 106 = 2(23 + x)

⇒ 46 + 2x = 106

⇒ 2x = 106 – 46

⇒ 2x = 60

⇒ x = 30 m

Hence, the lengths of other three sides are 23 m, 30 m and 30 m. As a kite has two pairs of equal consecutive sides.