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

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) (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 = b*h
In this problem A = 5, b = 2x, therefore
(2x)*h = 5
get rid of the fraction, multiply both sides by 2
(2x)*h = 10
Divide both sides by 2x
h =
Reduce the fraction, 2 cancels into 10, we are left with
h =
:
:
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 =
Reduce the fraction, 3.5 goes into 70 twenty times
L =
:
:
Did this make sense to you, questions? ankor@att.net
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