A room is 26 ft 7 in. by 32 ft. The room has to hav 3 shapes, one of which has more than 4 sides. I need to know the area of each and how to come up with them. Can someone please explain this thanks .
2007-05-26 13:46:16 · 2 answers · asked by ;-) 4 in Education & Reference ➔ Homework Help
Well, let's try and think of it a bit... Let's pretend that the room is filled with two triangles and a rectangle. Imagine half of the room is the rectangle, and two right triangles are stacked on top of it to form a rectangle (if you imagine it this way: think of a rectangle that has been dissected from the upper right corner all the way down to the bottom left corner. The two "chunks" that line would form are really two right triangles, right?).
Okay, so now we have the room. Let's solve the rectangle first. If the bottom of the room is 32 ft., we know one of the sides of the rectangle is 32 ft. To find the other side, since we made half of the room two triangles and half a rectangle, the the OTHER side of the rectangle has to be half of 26. So, the area of the rectangle is 26/2 * 32. And this is your rectangle's area.
For the triangle, since they will be of equal size, we can solve for just one. Alright, if we place the right triangle on TOP of the rectangle. Since we know that the rectangle's bottom is 32 ft., its top has to be 32 as well. So we have the "BASE." The height, just like the side of the rectangle, has to be HALF of the room's side, which is 26. So, half of 26 is 13. Now, we can solve for the triangle. If the base is 32 and the height is 13, then 32*13/2 is your area. And this result is the same for both triangles.
If this doesn't make sense to you, feel free to contact me for further questioning. I wish I could show you a drawn picture, but I unfortunately can't. Hopefully you understand how to go about it.
2007-05-26 13:57:59 · answer #1 · answered by Mr. Jankovich 3 · 0⤊ 0⤋
The shape of he room does not distinguish or change the square feet of the room multiply the width by the length and that gives you the square feet period. Once you have the total square feet it is easy to to determine what lengths are needed where inn order to achieve you needed results. use the rules
2007-05-26 15:06:51 · answer #2 · answered by Pengy 7 · 0⤊ 0⤋