Question

miranda 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 ). options: a) ( b = \frac{a}{lw + 0.5h} ) b) ( b = \frac{a - lw}{0.5h} ) c) ( b = a - lw - 0.5h ) d) ( b = a + lw + 0.5h )

Explanation:

Step1: Start with the given formula

The formula for the area \( A \) is \( A = lw + 0.5hb \). Our goal is to solve for \( b \). First, we need to isolate the term containing \( b \). So, we subtract \( lw \) from both sides of the equation.
\[
A - lw = 0.5hb
\]

Step2: Solve for \( b \)

Now, to get \( b \) by itself, we divide both sides of the equation by \( 0.5h \).
\[
b=\frac{A - lw}{0.5h}
\]

Answer:

\( b=\frac{A - lw}{0.5h} \) (which corresponds to option b)