5. A w-foot wide path is to be built around a rectangular space that is 80 feet by 50 feet. Write and simplify an expression for the total area.

To find the area of the path, we'll need to find the area of the space with the path and subtract the area of the inner space.

Total area: (80 + w)(50 + w)

Inner area: 80 x 50

Area of the path: (80 + w)(50 + w) - (80 x 50)

(4000 + 80w + 50w + w^2) - (4000)

4000 + 130w + w^2 - 4000

w^2 + 130w

w(w + 130)

Expression for the total area: (80 + w)(50 + w)

Expression for the area of the path: w(w + 130)

Hope this helps!! :)

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step-by-step explanation:

step-by-step explanation:

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