SOLUTION: 1. A triangle has an area of 5 square inches and a base of 2x. What is the height of the triangle in terms of x? 2. A rectangle has an area of 70 square inches and a width of 3.5

Algebra ->  Triangles -> SOLUTION: 1. A triangle has an area of 5 square inches and a base of 2x. What is the height of the triangle in terms of x? 2. A rectangle has an area of 70 square inches and a width of 3.5      Log On


   

Question 922962: 1. A triangle has an area of 5 square inches and a base of 2x. What is the height of the triangle in terms of x? 2. A rectangle has an area of 70 square inches and a width of 3.5w. What is the the length of the rectangle in terms of w?
I don't understand these, as my teacher did not explain them. I would like to know how to do them, so, if possible, please provide steps. Thank you!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1. A triangle has an area of 5 square inches and a base of 2x. What is the height of the triangle in terms of x?
We know that the area of a triangle: A = 1%2F2b*h
In this problem A = 5, b = 2x, therefore
1%2F2(2x)*h = 5
get rid of the fraction, multiply both sides by 2
(2x)*h = 10
Divide both sides by 2x
h = 10%2F%282x%29
Reduce the fraction, 2 cancels into 10, we are left with
h = 5%2Fx
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2. A rectangle has an area of 70 square inches and a width of 3.5w.
What is the the length of the rectangle in terms of w?
we know that A = L * W
In this problem A = 70 and W = 3.5w, therefore
L * 3.5w = 70
Divide both sides by 3.5w, leaving us with:
L = 70%2F%283.5w%29
Reduce the fraction, 3.5 goes into 70 twenty times
L = 20%2Fw
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Did this make sense to you, questions? ankor@att.net