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Ruhhr
Group Title
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
 2 years ago
 2 years ago
Ruhhr Group Title
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
 2 years ago
 2 years ago

This Question is Closed

Ruhhr Group TitleBest ResponseYou've already chosen the best response.0
dw:1349190507668:dw (not drawn to scale)
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
What is 14 ft and 10 ft?
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
dw:1349190940501:dw
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Are you there @Ruhhr?
 2 years ago

Ruhhr Group TitleBest ResponseYou've already chosen the best response.0
Sorry, getting caught up in my work.. & yeah it shows the lenght of the sides... I got that already..
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
I'm not really good at this but the ration of the sides are the same right?
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Sorry ratio.
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
dw:1349191230318:dw
 2 years ago

Ruhhr Group TitleBest ResponseYou've already chosen the best response.0
Ratio: is a comparison of two quantities by division.
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
So 14:10 = AB:PQ = BC:QR
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
14:10 = 7:5
 2 years ago

Ruhhr Group TitleBest ResponseYou've already chosen the best response.0
How does it equal 7.5 though? What did you do to get to 7.5?
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
No not 7.5 its 7:5. If you divide 14:10 by two, you get 7:5(14/2:10/2). Got that?
 2 years ago

Ruhhr Group TitleBest ResponseYou've already chosen the best response.0
Oh yes! Got it! Then what do you do?
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
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)
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Pretty straightforward now.
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Got it till here?
 2 years ago

Ruhhr Group TitleBest ResponseYou've already chosen the best response.0
wait how did you get 177 when all it provides is 14?
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
The area is 177 right? Its given.
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Area of the largest triangle is 177 ft^2.
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
sorry larger. Got that?
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
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?
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Lost on how to find x?
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Hint  In the equation 25.3/x = 7/5, cross multiply. You'll get 25.3 * 5 = 7x. Now?
 2 years ago

Ruhhr Group TitleBest ResponseYou've already chosen the best response.0
I get 7x = 127.5 by cross multiplying
 2 years ago

Ruhhr Group TitleBest ResponseYou've already chosen the best response.0
I get 7x = 127.5 by cross multiplying
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
So what's x?
 2 years ago

Ruhhr Group TitleBest ResponseYou've already chosen the best response.0
and when i divide that.. i get 18.21
 2 years ago

Ruhhr Group TitleBest ResponseYou've already chosen the best response.0
igtg to my next class now
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Yep that's right. So now we have the corresponding base and height for PQR. 1/2 * 18.21 * 10 Easy now?
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
You get 91.05. I think you should round off to the nearest ten and write it as 90.
 2 years ago
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