need help with math
\(\Huge{Parallelogram~Area=bh}\) \(\Huge{Trapezoid~Area=\frac{(b_{1}+b_{2})}{2} \times h}\)
for which one
For 24 we would use the parallelogram area formula.... For 26 we would use the trapezoid area formula.... Here is how to solve for number 26....
For 25 we would draw out the isoceles triangle... |dw:1464128697692:dw|To find the height we would input what we know into the formula for finding the area of a triangle... \(\Huge{150=\frac{12 \times h}{2}}\) So we work backwards...we would first multiply by 2... \(\Huge{300=12 \times h}\) Next we would divide by 12... \(\Huge{\frac{300}{12}=h=25}\) So we now know that h equals 25 now to find the leg we would have to apply pythagorean theorem... \(\Huge{25^{2}+12^{2}=c^{2}}\)
Ooops wait.... \(\Huge{25^{2}+6^{2}=c^{2}}\)
660^2
@marcelie
@mathmate
\(\Large {25^{2}+6^{2}=c^{2}}\) what you got was actually \(c^2 = 661\) So take the square-root of 660 to find c, which is the side length.
oh that's what I meant sorry and I got 436957
@mathmate
Sorry, it's the square-root of 661 (not the square).
25.70992026 is what I got
so its 25.7 @mathmate
I got the same answer! Well done! :)
yay can you help m with the others
because I really need help with these ones
@563blackghost has already taken care of the rest. This is the last one she didn't have time to finish.
I know but I don't really understand it @mathmate
I got 24 I just need 26 which I what im most confused with
Take the first one. It looks like a parallelogram, but nothing says it is. In fact, it says it is not drawn to scale. It is not a proper way to write a mathematics question. But we have to live with what we have, and \(assume\) that it is a parallelogram. Now a parallelogram has opposite side equal, so the bottom side (base) is also 32 inches, with a height (altitude) of 33 inches. The area of a parallelogram is given by A=base*height. Can you find the area?
1056
Great! Do you want to try the third one about a trapezoid? Remember, again, nothing says it is a trapezoid, so we need to \(assume\) it is a trapezoid, which means that we assume that the top and bottom sides are parallel. |dw:1464138696391:dw| Can you find x?
3? @mathmate
No it's not 3. We are given the angle 45 degrees. Do you know what is x in the following diagram? |dw:1464139204916:dw|
225 ? @mathmate
Not really. When a right triangle is 45-45-90, the two legs (that make the 90 degrees angle) are equal. So the value of x is 5. |dw:1464139557971:dw| Now can you tell me the lengths of the top and bottom sides?
im not sure im sorry
@mathmate
|dw:1464140071297:dw| So you have a height of 5, and the parallel sides 10 and 10 cm, right?
yes
so I have to multiply all of them @mathmate
No, you would use, for a trapezoid, the following formula: Area = (1/2)(top side+bottom side)*(height) and that will give the area.
so (1/2)(10+10)(5)
wait, the bottom side is not 10, it's more than 10! :(
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