The length of Sally’s rectangular garden is 4 meters greater than 3 times the width. The perimeter of her garden is 72 meters. Find the dimensions of Sally’s garden.

The length of the Sally's garden  is  28 m and width is  8 m.

Step-by-step explanation:

Here, let the width of the garden  =  k meters

So, the length of the garden  =  (3 k + 4) meters

Perimeter of the garden = 72 m

Now, the Perimeter of the Rectangle =  2 (LENGTH + WIDTH)

⇒  2(  k + (3 k + 4)) = 72

or, 2 ( 4 k + 4)  = 72

⇒ 8 k +  8 =  72

or, 8 k = 72 - 8 = 64

⇒ k = 64/8  = 8

or, the Width of the garden = k = 8 meters

and the Length of the garden =  (3k + 4) = ( 3 x 8 + 4) = 28 meters

So, the length of the Sally's garden  is  28 m and width is  8 m.

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step-by-step explanation: