Question
A playground in the town is in the form of a kite. The perimeter is 106 m. If one of its sides is 23 m, what are the lengths of other three sides?
A playground in the town is in the form of a kite. The perimeter is 106 m. If one of its sides is 23 m, what are the lengths of other three sides?
Answer:
:
In a kite, two pairs of adjacent sides are equal. Since we know that one side measures 23 m in length, we can assume that the side adjacent to it will also be of the same length.
Let the length of the opposite side be x m. Then, the length of the side adjacent to this side will also be x m.
Perimeter of the playground = 106m
⇒23+23+x+x=106⇒46+2x=106⇒2x=106−46⇒2x=60⇒x=30m
Hence, the lengths of the other three sides are 23m, 30m and 30m.
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:
In a kite, two pairs of adjacent sides are equal. Since we know that one side measures 23 m in length, we can assume that the side adjacent to it will also be of the same length.
Let the length of the opposite side be x m. Then, the length of the side adjacent to this side will also be x m.
Perimeter of the playground = 106m
⇒23+23+x+x=106⇒46+2x=106⇒2x=106−46⇒2x=60⇒x=30m
Hence, the lengths of the other three sides are 23m, 30m and 30m.
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