anonymous
  • anonymous
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
Mathematics
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
|dw:1349190507668:dw| (not drawn to scale)
anonymous
  • anonymous
What is 14 ft and 10 ft?
anonymous
  • anonymous
|dw:1349190940501:dw|

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Are you there @Ruhhr?
anonymous
  • anonymous
?????
anonymous
  • anonymous
Sorry, getting caught up in my work.. & yeah it shows the lenght of the sides... I got that already..
anonymous
  • anonymous
I'm not really good at this but the ration of the sides are the same right?
anonymous
  • anonymous
Sorry ratio.
anonymous
  • anonymous
|dw:1349191230318:dw|
anonymous
  • anonymous
Ratio: is a comparison of two quantities by division.
anonymous
  • anonymous
So 14:10 = AB:PQ = BC:QR
anonymous
  • anonymous
14:10 = 7:5
anonymous
  • anonymous
How does it equal 7.5 though? What did you do to get to 7.5?
anonymous
  • 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
  • anonymous
Oh yes! Got it! Then what do you do?
anonymous
  • 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
  • anonymous
Pretty straightforward now.
anonymous
  • anonymous
Got it till here?
anonymous
  • anonymous
wait how did you get 177 when all it provides is 14?
anonymous
  • anonymous
The area is 177 right? Its given.
anonymous
  • anonymous
Area of the largest triangle is 177 ft^2.
anonymous
  • anonymous
sorry larger. Got that?
anonymous
  • anonymous
yes
anonymous
  • 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
  • anonymous
I'm lost @.@
anonymous
  • anonymous
Lost on how to find x?
anonymous
  • anonymous
yes
anonymous
  • anonymous
Hint - In the equation 25.3/x = 7/5, cross multiply. You'll get 25.3 * 5 = 7x. Now?
anonymous
  • anonymous
I get 7x = 127.5 by cross multiplying
anonymous
  • anonymous
I get 7x = 127.5 by cross multiplying
anonymous
  • anonymous
So what's x?
anonymous
  • anonymous
and when i divide that.. i get 18.21
anonymous
  • anonymous
igtg to my next class now
anonymous
  • anonymous
Yep that's right. So now we have the corresponding base and height for PQR. 1/2 * 18.21 * 10 Easy now?
anonymous
  • anonymous
You get 91.05. I think you should round off to the nearest ten and write it as 90.

Looking for something else?

Not the answer you are looking for? Search for more explanations.