I can't draw a picture here, I've uploaded a picture at http://www.cameronapartments.org/question.jpg - sorry i will be removing it after this question is resolved.
Given P and Y are midpoints, you will need to create an equation in terms of P and Y to find the area of the shaded region.
I know by logical thinking, when we combine the two triangles it will be 1/4 of the whole rectangle. Which means to find the shaded region, I just take the area of the whole triangle and minus off a quarter.
I forgot all my algebra, so my best guess (after 1 hour, LOL!) is that the simplest equation is:
PY - (PY/4)
If you substitute P and Y with numbers, it is correct too. But in terms of algebra, is the eqn correct? Is there a simpler or better equation?
LOL this is the funniest question I've ever asked!
2007-02-11 04:21:52 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Your work is right. The only other thing you can do is combine the terms in your equation:
PY - (PY/4) = PY - 1/4 (PY) = 3/4 (PY) or 3PY/4
Getting it down to that single term technically makes it more simplified.
2007-02-11 04:26:36 · answer #1 · answered by Mr. Adkins 4 · 0⤊ 0⤋
Sure, there's a simpler and better equation. Subtract PY/4 from PY to get:
A = (3/4) PY
2007-02-11 04:29:03 · answer #2 · answered by Scythian1950 7 · 0⤊ 0⤋
taking your p to be the length of the verticle from corner to mid point and similarly y on the horizontal, the shaded triangles can be overlaid and shows the area is 1/4 of the whole rectangle.
Area of rectangle is 2p*2y =4py, so shade is py. qed.
2007-02-11 04:35:59 · answer #3 · answered by Anonymous · 0⤊ 0⤋
yeah your work is right.
2007-02-11 04:31:09 · answer #4 · answered by David 3 · 0⤊ 0⤋