SOLUTION: we are discussing factoring and we have to solve these problems 7. x^2 - 36 = 0 8. The area of a triangle is 13.5 square meters. Find the base and height of the rectangle if i

Question 155494This question is from textbook elementary and intermediate algebra
: we are discussing factoring and we have to solve these problems
7. x^2 - 36 = 0
8. The area of a triangle is 13.5 square meters. Find the base and height of the rectangle if its height is 6 meters greater than its base. Use an equation and the formula ---> area of a triangle = 0.5(base)(height).

This question is from textbook elementary and intermediate algebra

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
7. x^2-36=0
(x-6)(x+6)=0
x-6=0
x=6 Answer.
x+6=0
x=-6 Answer.
area=13.5
area=b*h/2
h=b+6 then:
13.5=b(b+6)/2
13.5=b^2+6b/2
b^2+6b=13.5*2
b^2+6b-27=0
(b+9)(b-3)=0
b-3=0
b=3 for the base.
h+3+6=9 for the height.
Proof:
13.5=3*9/2
13.5=27/2
13.5=13.5

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