3 years ago

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

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