Question

I have a question but I am stuck on the factoring
1/2*b*(h+7)=22

Answer 1

Define 'factoring' - because that isn't something I'd look to factorise.

Answer 2

1/2*b*(h+7)=22
1/2(b^2+h7)=22
2*1/2(b^2+h7)=2*22
b^2+h7=44
b^2+h7-44=44-44
b^2+h7-44=0
(b- )(h+ )= this is where I am lost

Answer 3

u cant solve for b and h in same equation

Answer 4

Here I will give you the question. The base of a triangle is 7cm greater than the height. The area is 22 cm^2. I have to find the height and base of the triangle.

Answer 5

Define b = h+7 (or h = b-7) , and go from there.

Answer 6

i.e. you should be solving:

\[\frac{1}{2} \cdot h \cdot (h+7) = 22 \text{ or } \frac{1}{2} \cdot b \cdot (b-7) \]

Answer 7

The last one =22 too :@

Answer 8

Post the quadratic equation you get when you follow through with INewton's suggestion.

Answer 9

My suggestion is to use the first one:\[(1/2) \times h \times(h + 7)=22 cm sq\]

Answer 10

1/2*h(h+7)=22
1/2(h^2+h7)=22
2*1/2(h^2+h7)=2*22
h^2+h7=44
h^2-h7=44=44-44
h^2+h7-44=0
h=9 b=35

Answer 11

\[h ^{2}=7h-44=0\] is correct. Which method did you use to get the values of h?
quadratic formula, or factor method?

Answer 12

\[h ^{2}+7h-44=0\] I meant to type sri

Answer 13

which method did you use to get 9 for h??

Answer 14

i think factor

Answer 15

9 doesn't go into 44 so something went wrong. Factor is the way to go. That equation will factor beautifully. Do you need some guidance in factoring that equation?

Answer 16

yes please

Answer 17

Well we are in luck in that the coefficient of h^2 is 1.
Also we need to find to factors of 44 which will when combined equal 7. We have a hint since 44 is negative, one of these factors will positive and the other negative.
Do you follow so far?

Answer 18

It will start looking like this:
(h- ?) (h +?)
the ?*?=-44
and ?+?=-7

Answer 19

Any questions??? so far.

Answer 20

leahpl81872 can you think of two numbers when multiplied equal -44 and when added =+7 ? It is important cause one of these numbers is your answer!

Answer 21

11 & 4

Answer 22

Right on!!
(h+11)(h-4)=0

Answer 23

which one do you think is the answer? the -11 or the 4 ???

Answer 24

4

Answer 25

very good, now remember the base was equal to the height + 7 cm, so what is the base?

Answer 26

11

Answer 27

Correcto, you seem to have a handle on this problem, good luck.

Answer 28

thank you very much

Answer 29

No problem, and INewton's input was helpful.