Question

Marcie wants to enclose her yard with a fence. Her yard is in the shape of a triangle attached to a rectangle. See the figure below.
Yard is shapred like a square and a triangle.

The area of this figure can be found by the formula A = (wh) + 0.5(bh). If Marcie wants the total area to be larger than a specified value, she can use the formula A > (wh)+ 0.5(bh). Rewrite this formula to solve for b. Show all steps in your work.

Answer 1

can someone plz help

Answer 2

It is just asking for you to solve for b in the equation A > (wh)+ 0.5(bh). You do no have to solve for b buy just do the work as if you were trying to solve b. Do you understand?

Answer 3

Are you there?

Answer 4

To get you started, subtract (wh) from both sides of A > (wh)+ 0.5(bh). Like below
A > (wh)+ 0.5(bh)
A -(wh) > (wh) + -(wh)+ 0.5(bh)

After doing the problem above, we get..

A - (wh) > 0.5(bh)

Can you finish?

Answer 5

I am here sorry

Answer 6

do I divedboth sides by wh

Answer 7

No, now you need to get b by its self. If you needed to get x by its self in 2x = 2 how would you?

Answer 8

im sorry to sound like im stupid but for some reason I am struggling with this so if you can explain it alitte more in depth thank you

Answer 9

u there

Answer 10

do I add wh to both sides of the >

Answer 11

The who concept of equations is to keep it balanced. What ever you do to one side of the equal side you have to do to the other side of the equal sign. If I subtract something from one side, I have to do it to the other side of the equal sign. If I divide from one side of the equal sign, I have to do the same to the other side of the equal sign.

If I have the equation 2x + 4 = 6 I first have to get all my constants on one side of the equation and get my variable x alone To do that we use a few rules of algebra.

We are going to use the addition property and the division property.

In order to get things on one side of the equal sign and to remove it from the other side we use the addition property. In order to separate variables that are being multiplied to gather we use the division property.

So 2x + 4 = 6
First we use the addition property

2x + 4 + (-4) = 6 + (-4)
2x + 0 = 2
2x = 2


Now 2x is like saying 2 times x so this means it is multiplication so we need to use division to get our x alone and by its self so we divide 2 on each side

2x/ 2 = 2/2
x = 1

Now we are done

So the equation A > (wh)+ 0.5(bh) we want to solve for b

First we need to use the addition property
A > (wh)+ 0.5(bh)
A - (wh) > (wh) + (-(wh))0.5(bh)
A - (wh) > 0.5(bh)


Now we need to use division to get b by its self. How would that look?

Answer 12

i divide both sides by wh

Answer 13

No you are trying to get b by its self

Answer 14

wh has nothing to do with b so why divide it?

Answer 15

ok then 0.5

Answer 16

If you were trying to get w by its self then you would divide h

Answer 17

Yes 0.5 but what else?

Answer 18

the bh

Answer 19

No, you want b left on one side of the equal sign.

Answer 20

You would divid 0.5h which will leave b all by its self on one side of the equal sign

Answer 21

ok i see

Answer 22

So to solve for b would look like this

A - (wh) > 0.5(bh)
A - (wh) / 0.5h > 0.5(bh) / 0.5h

A - (wh) / 0.5h > b

or

b < A -(wh) / 0.5h

Answer 23

thank you for all your help

Answer 24

\[ b < \frac{A - (wh)}{0.5h} \]

Answer 25

You are welcome