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?
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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