Question

A triangular garden is 20 ft taller than it is wide. The area is 750ft^2 .
Find the height and the base of the garden.

Answer 1

First find the formula for an area of a triangle. What is that?

Answer 2

1/2*b*h=A
b=h-20
1/2*h^2-10h=A
A=750
(1/2)h^2-10h-750=0
quadratic form will give you your answer.

Answer 3

1/2bh=A

Answer 4

1/2b(20+b)=750

Answer 5

Yes now FOIL that problem out and bring the 750 to the left side so you can use the quadratic equation to solve.

Answer 6

this is where im stuck because 1/2 and b are together how do i foil with that?

Answer 7

FOIL it as .5b, think of it as a whole not two different numbers.

Answer 8

distribute. not foil. .5b*20+.5b*b

Answer 9

Eh, Foil it without the outer....I still think of it as foil. Distribute isbetter termanology tho

Answer 10

this right? .(1/2)b*20+(1/2)b*b

Answer 11

Yes so you will finish with .5b^2 + 10b - 750 = 0...then quadratic equation and you got yourself the answer.

Answer 12

how do i find the height and base from that?

Answer 13

Find you base and then plug your base back into your equation and get your height.

Answer 14

b is the base. h is the height. once you find one you have the equation to find the other.

Answer 15

but i dont understand how to solve for b in that type of equation...

Answer 16

quadratic formula. google it.

Answer 17

Honestly google is your best bet. All you have to do is, plug in your numbers compared to show the quadratic equation needs them and it will show you how to find an answer.

Answer 18

is it b=-50 and b=30? thats what i keep getting...

Answer 19

I haven't done the math myself, but seems like reasonable answers, no think can a base length be negative? That will tell you which is the correct number to use to plug back in for h

Answer 20

so id plug in 30 as b and solve for h that way?

Answer 21

Exactly!

Answer 22

thanks...