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question 2 (01.06 lc) marcie wants to enclose her yard with a fence. he…

Question

question 2
(01.06 lc)
marcie wants to enclose her yard with a fence. her yard is in the shape of a rectangle attached to a triangle. the formula for the area of the enclosed space is a = lw + 0.5bh. solve for b.
\\(b=\frac{a}{lw + 0.5h}\\)
\\(b=\frac{a - lw}{0.5h}\\)
\\(b=a - lw - 0.5h\\)
\\(b=a + lw+0.5h\\)

Explanation:

Step1: Isolate the term with b

Subtract \(lw\) from both sides of the equation \(A = lw+0.5bh\).
\[A - lw=0.5bh\]

Step2: Solve for b

Divide both sides of the equation \(A - lw = 0.5bh\) by \(0.5h\).
\[b=\frac{A - lw}{0.5h}\]

Answer:

\[b=\frac{A - lw}{0.5h}\]