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taurus [48]
2 years ago
10

The area of a rectangular carpet is 252 square feet. The length is nine feet more than the width. Find the length and the width

of the carpet.
Mathematics
1 answer:
Whitepunk [10]2 years ago
3 0

Answer:

<h3>Length = 30 feet </h3><h3>Width = 21 feet </h3>

<em><u>Given </u></em><em><u>-</u></em><em><u> </u></em>Length is nine feet more

Area is 252

<u>To </u><u>find </u><u>-</u><u> </u><u> </u>Value of length and width

<em><u>Solution</u></em><em><u>-</u></em><em><u> </u></em>

let the width of the carpet be X

therefore length = 9 + X

Area of carpet = Length * width

252 = (9+x) * X

252 = 9x + x²

<em><u>Solving </u></em><em><u>the </u></em><em><u>equation </u></em><em><u>by </u></em><em><u>splitting </u></em><em><u>middle </u></em><em><u>term </u></em>

x² + 9x - 252 = 0

x²- 21x + 12x - 252= 0

x ( x - 21) + 12( x - 21) = 0

(x -21)( x + 12) = 0

X = 21 or X = (-12)

Length = 9 + X

= 30 or (-3)

negative is not possible so

length = 30

width = 21

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