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Mathematics 23 Online
OpenStudy (deedee101):

need help with math

OpenStudy (deedee101):

OpenStudy (deedee101):

OpenStudy (deedee101):

563blackghost (563blackghost):

\(\Huge{Parallelogram~Area=bh}\) \(\Huge{Trapezoid~Area=\frac{(b_{1}+b_{2})}{2} \times h}\)

OpenStudy (deedee101):

for which one

563blackghost (563blackghost):

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....

563blackghost (563blackghost):

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... \(\Huge{25^{2}+12^{2}=c^{2}}\)

563blackghost (563blackghost):

Ooops wait.... \(\Huge{25^{2}+6^{2}=c^{2}}\)

OpenStudy (deedee101):

660^2

OpenStudy (deedee101):

@marcelie

OpenStudy (deedee101):

@mathmate

OpenStudy (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.

OpenStudy (deedee101):

oh that's what I meant sorry and I got 436957

OpenStudy (deedee101):

@mathmate

OpenStudy (mathmate):

Sorry, it's the square-root of 661 (not the square).

OpenStudy (deedee101):

25.70992026 is what I got

OpenStudy (deedee101):

so its 25.7 @mathmate

OpenStudy (mathmate):

I got the same answer! Well done! :)

OpenStudy (deedee101):

yay can you help m with the others

OpenStudy (deedee101):

because I really need help with these ones

OpenStudy (mathmate):

@563blackghost has already taken care of the rest. This is the last one she didn't have time to finish.

OpenStudy (deedee101):

I know but I don't really understand it @mathmate

OpenStudy (deedee101):

I got 24 I just need 26 which I what im most confused with

OpenStudy (mathmate):

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?

OpenStudy (deedee101):

1056

OpenStudy (mathmate):

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?

OpenStudy (deedee101):

3? @mathmate

OpenStudy (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|

OpenStudy (deedee101):

225 ? @mathmate

OpenStudy (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?

OpenStudy (deedee101):

im not sure im sorry

OpenStudy (deedee101):

@mathmate

OpenStudy (mathmate):

|dw:1464140071297:dw| So you have a height of 5, and the parallel sides 10 and 10 cm, right?

OpenStudy (deedee101):

yes

OpenStudy (deedee101):

so I have to multiply all of them @mathmate

OpenStudy (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.

OpenStudy (deedee101):

so (1/2)(10+10)(5)

OpenStudy (mathmate):

wait, the bottom side is not 10, it's more than 10! :(

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