Samantha's rectangle flower garden is surrounded by a 4 meters wide. The flower garden is 6 meters longer than it is wide. If the total area is 1015 square meters, find the dimensions of the flower garden

Answer: the width is 29 meters

The length is 35 meters

Step-by-step explanation:

The garden is rectangular in shape. The width of the garden is 4 meters.

The flower garden is 6 meters longer than it is wide. This means that

Length = width + 6

L = w + 6

The total area is 1015 square meters. The area of a rectangle is expressed as L*W. Therefore

LW = 1015

Substituting L = W + 6 into the above equation,

W (W+6) = 1015

W^2 + 6W - 1015 = 0

W^2 + 35W - 29W - 1015 = 0

W (W+35) - 29 (W+35) = 0

W-29 = 0 or W + 35 = 0

W = 29 or W = - 35

The width cannot be negative, so w = 29

L = w + 6

L = 29 + 6 = 35