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

The value of the provided equation for b is
`b=(A-lw)/(0.5h)`.

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

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

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

Hence, the value of the provided equation for b is
`b=(A-lw)/(0.5h)`.