If you are trying to find the area of each side you created when dividing the triangle into thirds, you should divide your numbers. Since the area of the whole triangle is 18 sq. units, and you need three separate pieces from the triangle, you can divide 18 by three. This would look like this:
18 / 3 = ?
And 18 / 3 = 6. So from that you can tell that each third of the triangle is going to equal 6 sq. units.
Hope that helps!
Answer:
(3/2, 7/2)
Step-by-step explanation:
Given the system of equations;
y = 3x/2 + 5/4..... 1
-2x + 8y = 25 .... 2
Substitute equation 1 into 2;
From 2;
-2x + 8y = 25
-2x + 8(3x/2 + 5/4) = 25
-2x + 12x + 10 = 25
10x = 25 - 10
10x = 15
x = 15/10
x = 3/2
Substitute x = 3/2 into equation 1
From 1;
y = 3x/2 + 5/4
y = 3/2(3/2) + 5/4
y = 9/4 + 5/4
y = 14/4
y = 7/2
Hence the solution to the equation is (x, y) = (3/2, 7/2)
We know the square is 16 in squared, so that's out of the way, now for the triangles.
Since there are four triangles, all the same size, we can just combine two of them to make it a rectangle, so we can figure this out a bit easier.
Since the length is 4 and the height is 3, we multiply those to get 12. Normally we would divide that by two to get the area of a triangle, but since we have four triangles, I say we just double it to reduce the work for us.
12 doubled is 24
24 plus 16 is 40
Your answer is 40 inches squared.
Any questions?