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Mathematics 20 Online
Katy:

2.) Find the area of the given figure.

Katy:

d

1 attachment
darkknight:

As you can see for part a) The shape is broken up into a trapezoid and a rectangle. You find the area by finding the area of the individual rectangle and trapezoid and then adding them up together

darkknight:

Do you know the formula's for rectangle and trapezoid's?

darkknight:

Yes correct for the rectangle, and for the trapezoid?

darkknight:

Okay, so the formula for the area of a trapezoid is \[h(a+b)/2\] Where a and b are your bases and h is your height

darkknight:

You just basically average the bases and multiply by the base

darkknight:

no, so let me draw the figure without the dimensions, see if you can figure out the dimensions. |dw:1587661962625:dw|

darkknight:

Can you figure out a, b and h now? It is given in the diagram

darkknight:

yes, you are correct. Now plug it into the formula above

darkknight:

yes, correct!

darkknight:

What value did you get?

darkknight:

Now add it to the area of a rectangle. Yes correct

darkknight:

yes, you are correct

darkknight:

yeah, obviously question 1 is c

darkknight:

Do you know what to do for 3?

darkknight:

So as you can see. 3 is just a trapezoid and a semicircle

darkknight:

you already know the formula's to a trapezoid. Do you know for a circle or semicircle?

darkknight:

The area for a circle is \[\pi)(r^2)\] so what would the area for a semicircle be?

darkknight:

a semicircle is half of that. So... \[(1/2)(\pi)(r^2)\]

darkknight:

Do you know how to do this now? Just plug in the values into the formulas and then add them together

darkknight:

What did you get?

darkknight:

yeah? do you not see?

darkknight:

Yes, for the semicircle. Now add that value to that of the area of the trapezoid

darkknight:

What is that for ^?

darkknight:

YES YOU ALREADY SAID THAT. HOW MANY TIMES???

darkknight:

yes, correct

darkknight:

Are you okay? How many times do I have to say that it is correct. If you keep it up as this rate no one is going to help. You don't have to check in with every little thing like 15 times!

darkknight:

Add to what you got for the trapezoid!

darkknight:

Then that is your answer

darkknight:

What did you get?

darkknight:

What is your answer?

darkknight:

yes u got it right.

darkknight:

I already told you the formula

darkknight:

Just add to the value of a semicircle for god's sake

darkknight:

I already gave you the formula. You already know how to do this. It was okay before but annoying now. You've been dragging this for 1 hr! Now don't say correct? until the end. Yes you are correct. Now add them together!

darkknight:

finally! Round to 30.3. That is your answer

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