Difference between revisions of "1951 AHSME Problems/Problem 4"

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{{AHSME box|year=1951|num-b=3|num-a=5}}
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[[Category:Introductory Geometry Problems]]

Revision as of 10:02, 5 February 2008

Problem

A barn with a roof is rectangular in shape, $10$ yd. wide, $13$ yd. long and $5$ yd. high. It is to be painted inside and outside, and on the ceiling, but not on the roof or floor. The total number of sq. yd. to be painted is:

$\mathrm{(A) \ } 360 \qquad \mathrm{(B) \ } 460 \qquad \mathrm{(C) \ } 490 \qquad \mathrm{(D) \ } 590 \qquad \mathrm{(E) \ } 720$

Solution

The walls are $13*5=65$ and $10*5=50$ in area, and the ceiling has an area of $10*13=130$.

$((65+50)2)2+130=590 \Rightarrow \boxed{\mathrm{(D)}}$

See also

1951 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
All AHSME Problems and Solutions