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Shirley wants to fence her rectangle garden. The length of the garden is represented by 2x-4 and the width is 1/2 of the garden. Find the equation that best represents the area of the garden

User Mahmudur
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Final answer:

The equation that represents the area of the garden is x^2 - 2x - 4.

Step-by-step explanation:

To find the equation that best represents the area of the garden, we need to multiply the length and width of the garden. The length is given as 2x-4 and the width is 1/2 of the length. So, the width can be represented as (1/2)(2x-4). Now we can write the equation for the area as:

Area = (2x-4) * (1/2)(2x-4)

To simplify the equation, we can distribute and combine like terms:

Area = x^2 - 4x + 2x - 4

Area = x^2 - 2x - 4

Area = (2x-4) \u00d7 (x-2)

To find the simplified form, we multiply the two binomials:

Area = 2x(x-2) - 4(x-2)

Area = 2x^2 - 4x - 4x + 8

Combining like terms, the equation simplifies to:

Area = 2x^2 - 8x + 8

User Philngo
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