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

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

The answer is B.

Answer 2

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