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 Post subject: GRE Geometry (Numerical Entry)Posted: Fri Sep 23, 2011 11:51 am

Joined: Sun May 30, 2010 3:15 am
Posts: 424
A scale drawing of a rectangular garden plot measures 5 inches by 7 inches. If the longer side of the garden plot is 21 feet, what is the area, in square feet, of the actual garden plot?

You can solve this quickly by setting up a ratio: 5/7 = x/21. Cross multiplying yields 105 = 7x, so x = 15, which is the width. Now find the area = length × width, and you get area = (21)(15) = 315 square feet.
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The length of the garden is expressed in feet. Thus the lenght of the area in inches is 21 × 12 = 252. The proportion becomes: 5/7 = x/252, and the value of x so found is 180. The area of the actual garden plot is:
180 × 252 = 45360 squared inches which in feet is 3780.

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 Post subject: Re: t.4 s.4 qt.13: geometry, proportionsPosted: Fri Sep 23, 2011 12:04 pm

Joined: Fri Sep 23, 2011 12:02 pm
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 Post subject: Re: t.4 s.4 qt.13: geometry, proportionsPosted: Wed May 02, 2012 4:15 am

Joined: Sun May 30, 2010 3:15 am
Posts: 424
Don't you need to convert inches to feet before creating the proportions? I converted 5 in. to .41 ft, 7 in. to .58 ft, then created the proportion to cross multiply and solve for x, which came to 14.8 – my area was 311.7 and wrong. Why so? Isn't mine more accurate?

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 Post subject: Re: t.4 s.4 qt.13: geometry, proportionsPosted: Wed May 02, 2012 4:16 am

Joined: Sun May 30, 2010 2:23 am
Posts: 498

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