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lakkis [162]
2 years ago
9

The length of the diogonals of a rectangular garden is 34m. If it's longer side measures 30m, find the perimeter of garden. ​

Mathematics
1 answer:
MakcuM [25]2 years ago
6 0

Answer:

92 m

Step-by-step explanation:

Use the Pythagorean theorem to find the length of the shorter side.

Let w = length of the shorter side.

w^{2}  + 30^{2}  =  34^{2} \\ w^{2}  + 900 = 1156\\w^{2}  =  256\\w = \sqrt{256} = 16

The perimeter is 2l + 2w = 2(30) + 2(16) = 60 + 32 = 92 m

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