SOLUTION: Problem solving : the perimeter of a kite JAPS is 64cm. the length of one of its sides is 14cm more than half the length of another. find the length of each side of the kite: (KIN

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Question 1005588: Problem solving :
the perimeter of a kite JAPS is 64cm. the length of one of its sides is 14cm more than half the length of another. find the length of each side of the kite: (KINDLY PROVIDE REPRESENTATION AND SOLUTION ) Thankyou

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
the perimeter of a kite JAPS is 64cm. the length of one of its sides is 14cm more than half the length of another. find the length of each side of the kite:
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Since the kite is symmetric,
short side + longer side = 32cm
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longer = shorter + 14 cm
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Using labels::
L + S = 32
L - S = 14
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2L = 46
L = 23 cm (the longer side)
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S = 32-23 = 9 cm (the shorter side)
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Cheers,
Stan H.
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Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website!
By definition, a kite has two pairs of sides.

as you can see in the figure above, and . So, as a formula we can say:

perimeter ..........eq.1
where:
is the length of each side in one pair
is the length of each side in the other pair
if given that the length of one of its sides is than the length of another, we have
......eq.2
since the perimeter of a kite is , we have
.....solve for

now go to eq.2 and find