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 .

Ab = A divided by the quantity l times w plus 0.5 times h B . b = The quantity A minus l times w all divided by 0.5 times h
Cb = A – lw – 0.5h
Db = A + lw + 0.5h No Idea :o

Verified Answer :

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\(A=lw+0.5bh \ \ \ \ \ \ \ \ \ \ |-lw \\ A-lw=0.5bh \ \ \ \ \ \ \ \ \ \ |\div 0.5h \\ \boxed{b=\frac{A-lw}{0.5h}}\)

The answer is B.

Let

l------> the length side of the rectangle

w----> the width side of a rectangle

b----> the base of the triangle

h----> the height of the triangle

we know that

the area of the yard is equal to

\(A=lw+0.5bh\)

Solve for b------> ( that means clear variable b)

Subtract \(lw\) both sides

\(A-lw=lw+0.5bh-lw\)

\(A-lw=0.5bh\)

Divide by \(0.5h\) both sides

\((A-lw)/(0.5h)=0.5bh/(0.5h)\)

\(b=(A-lw)/(0.5h)\)

therefore

the answer is the option B

The quantity A minus l times w all divided by 0.5 times h