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s344n2d4d5 [400]
1 year ago
5

the width of a rectangle is 9 inches less than its length and the area is 36 square inches. what are the length and width of the

rectangle
Mathematics
1 answer:
Phantasy [73]1 year ago
6 0

Answer:

12  and 3

Step-by-step explanation:

Let  x= length

If you draw a rectangle.  two sides would be the length x.  The other two sides would be (x-9).

(length)(width) = Area

(x)(x-9) = 36

x^2 - 9x = 36 Substitute in x and x-9 for the length and width

x^2 - 9x - 36 =0  Subtract 36 from both sides

(x-12)(x+3) = 0   We are looking for 2 number that add to -9 and mult. to -36

x-12=0 and x+3=0  Set both factors to 0 and solve

x = 12 and x =-3.  It does not make sense that a length could be -3 so we reject that answer.  If the length is 12, then the width is 3

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I am joyous to assist you anytime.

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B7%20%7B%7D%5E%7B7%7D%20%7D" id="TexFormula1" title=" \sqrt{7 {}^{7} }" alt=" \sqr
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\boxed{\tt\blue{=343\sqrt{7}}}

OR

\tt\red{=907.4927}

Step-by-step explanation:

\sqrt{7 {}^{7} }

\sf=343\sqrt{7}

<u>OR</u>

Decimal:

\tt=907.4927

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