the figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number. The area of the large triangle is 177 ft²
(will draw figure below) ..
A) 100 ft² .. B) 347 ft² .. C) 196 ft² .. D) 90 ft²

- anonymous

- schrodinger

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- anonymous

|dw:1349190507668:dw|
(not drawn to scale)

- anonymous

What is 14 ft and 10 ft?

- anonymous

|dw:1349190940501:dw|

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## More answers

- anonymous

Are you there @Ruhhr?

- anonymous

?????

- anonymous

Sorry, getting caught up in my work.. & yeah it shows the lenght of the sides... I got that already..

- anonymous

I'm not really good at this but the ration of the sides are the same right?

- anonymous

Sorry ratio.

- anonymous

|dw:1349191230318:dw|

- anonymous

Ratio: is a comparison of two quantities by division.

- anonymous

So 14:10 = AB:PQ = BC:QR

- anonymous

14:10 = 7:5

- anonymous

How does it equal 7.5 though? What did you do to get to 7.5?

- anonymous

No not 7.5 its 7:5.
If you divide 14:10 by two, you get 7:5(14/2:10/2).
Got that?

- anonymous

Oh yes! Got it!
Then what do you do?

- anonymous

Area of ABC = 177 ft^2
Lets take the base as 14 ft so that we can find the altitude to that base. You need the altitude and the corresponding base to get the area.
1/2 * base * height = 177
1/2 * 14 * h = 177
h = (177 * 2)14
= 25.3 approx. (25.28)

- anonymous

Pretty straightforward now.

- anonymous

Got it till here?

- anonymous

wait how did you get 177 when all it provides is 14?

- anonymous

The area is 177 right? Its given.

- anonymous

Area of the largest triangle is 177 ft^2.

- anonymous

sorry larger. Got that?

- anonymous

yes

- anonymous

So even the heights of the two triangles are in the ratio of 7:5.
So lets take the height to the base 10 ft in PQR as x.
25.3:x = 7:5
=> 25.3/x = 7/5
Can you find x?

- anonymous

I'm lost @.@

- anonymous

Lost on how to find x?

- anonymous

yes

- anonymous

Hint - In the equation 25.3/x = 7/5, cross multiply.
You'll get 25.3 * 5 = 7x.
Now?

- anonymous

I get 7x = 127.5 by cross multiplying

- anonymous

I get 7x = 127.5 by cross multiplying

- anonymous

So what's x?

- anonymous

and when i divide that.. i get 18.21

- anonymous

igtg to my next class now

- anonymous

Yep that's right.
So now we have the corresponding base and height for PQR.
1/2 * 18.21 * 10
Easy now?

- anonymous

You get 91.05. I think you should round off to the nearest ten and write it as 90.

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