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.

b = A/ IW + 0.5h
b = A - IW / 0.5h
b = A − lw − 0.5h
b = A + lw + 0.5h

Answer 1

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

Explanation:

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 from both sides

A-lw = 0.5bh

Divide by 0.5h on both sides

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

Answer 2

Option 2 -
`b=(A-lw)/(0.5h)`

Explanation:

Given : 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`

To find : Solve for b?

Solution :

Step 1 - Write the formula,

`A = lw + 0.5bh`

Step 2 - Subtract 'lw' both side,

`A-lw=0.5bh`

Step 3 - Divide by 0.5h both side,

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

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

So, Option 2 is correct.