The perimeter of a rectangular garden is 90 meters. the length is 6 meters longer than twice the width. find the dimensions of the garden.

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vitelarupatric6953 vitelarupatric6953

09-10-2017
Mathematics

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The perimeter of a rectangular garden is 90 meters. the length is 6 meters longer than twice the width. find the dimensions of the garden.

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altavistard altavistard · Answer 1 · 2017-10-10T04:56:56+02:00

Let the length and width of the garden be represented by L and W. Then L = 2W + 6 (all measurements in meters).

The formula for the Perimeter of a rectange is P = 2L + 2W.

Here, P = 2(2W + 6) + 2W = 90 (all dimensions in meters).

Then 4W + 12 + 2W = 90; 6W = 78; W=13 meters. Then L = 2W + 6=
2(13) + 6 = 32 meters.

Check: Does P come out to 90 meters when W = 13 m and L = 32 meters?

P = 2(13 m) + 2(32 m) = 26 m + 64 m = 90 m. YES.

W = 13 m; L = 32 m (answer)