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.

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)