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Problem Solving (PS) | Re: The shaded portion of the rectangular yard shown above represents

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Bunuel wrote:

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The shaded portion of the rectangular yard shown above represents a wooden patio. If the area of the patio is 30 square feet and b = a + 7, then c equals _____?

(A) √2
(B) 2√2
(C) 5
(D) 12
(E)13

Attachment:
2023-01-04_17-28-41.png



\(\frac{1}{2} * a * b =30\)

\( ab =60\)

\( b = a +7\)

\( a(a+7) =60\)

\( a^2 + 7a - 60 =0\)

\( a^2 + 12a -5a - 60 =0\)

\( a(a+12)-5(a+12) =0\)

\( (a-5)(a+12) =0\)

\( a =5\)

\( b = 5 + 7 =12\)

\( c =13\) (Pythogreantriplet)

OptionE
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Statistics : Posted by gmatophobia • on 27 Jan 2023, 07:30 • Replies 1 • Views 200



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