Question

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 .
a. b = 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
c. b = A – lw – 0.5h
d. b = A + lw + 0.5h No Idea :o

Answer 1

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

Answer 2

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

The answer is B.