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A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of p square feet of highway, how many gallons of paint will be needed to paint a stripe t inches wide on a stretch of highway m miles long

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  1. Today, 12:12
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    440mt/p gallons

    Explanation:

    We are told that one gallon of paint covers an area of p square feet. Knowing this then, the question becomes how much paint is needed to cover a stripe that is t inches wide and m miles long.

    Let us first use the dimensions of the stripe to find how much area that is in square feet. A stripe is rectangular so we will calculate the area as follows:

    Area of stripe = width x length

    = t inches x m miles (we need to convert both to feet)

    = (t inches x 1 ft/12 inches) x (m miles x 5280 ft/1 mi)

    =440mt square feet

    ow we can find out how much paint will be needed by using ratios

    p square feet : 1 gallon

    440mt square feet : x

    x = 440mt/p gallons
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