Question

The model at the right represents a garden. The total area of the garden shown can be represented by the expression 8x2+12x. If the width of the garden is 4x, what is the length of the garden?

Answer 1

Answer:

length = 2x + 3

Step-by-step explanation:

According to the diagram or picture the shape of the garden is a rectangle. The area of the garden and the width of the garden is known. The length of the garden is what we are asked to find . Since the garden is rectangular, the area of a rectangle is use to calculate the length.

Area of the garden(rectangle) = LW

where

L = length

W = width

L = ?

W = 4x

area = 8x² + 12x

area =  L × W

8x² + 12x = 4x L

divide both sides by 4x

L = 8x²/4x + 12x/4x

L = 2x + 3

length = 2x + 3