Question

(02.07) 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.

Answer 1

A = lw + 0.5bh
A - lw = 0.5bh
(A - lw) / (0.5h) = b

Answer 2

Answer:

The value of the provided equation for b is $b=\frac{A-lw}{0.5h}$.

Step-by-step explanation:

Consider the provided equation.

$A = lw + 0.5bh$

We need to solve the provided equation for b.

Subtract lw from both side.

$A-lw = lw-lw + 0.5bh$

$A-lw = 0.5bh$

Divide both the sides by 0.5h

$\frac{A-lw}{0.5h} =\frac{0.5bh}{0.5h}$

$b=\frac{A-lw}{0.5h}$

Hence, the value of the provided equation for b is $b=\frac{A-lw}{0.5h}$.