Q:

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

Accepted Solution

A:
Answer: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 metersSo, the length of the garden  =  (3 k + 4) metersPerimeter of the garden = 72 mNow, the Perimeter of the Rectangle =  2 (LENGTH + WIDTH)⇒  2(  k + (3 k + 4)) = 72or, 2 ( 4 k + 4)  = 72⇒ 8 k +  8 =  72or, 8 k = 72 - 8 = 64⇒ k = 64/8  = 8or, the Width of the garden = k = 8 metersand the Length of the garden =  (3k + 4) = ( 3 x 8 + 4) = 28 metersSo, the length of the Sally's garden  is  28 m and width is  8 m.