Difference between revisions of "1951 AHSME Problems/Problem 4"
(New page: The answer is (E) 720. 4[50+65]+2[130]=720) |
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| − | The | + | ==Problem== |
| + | A barn with a roof is rectangular in shape, <math>10</math> yd. wide, <math>13</math> yd. long and <math>5</math> 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: | ||
| − | + | <math> \mathrm{(A) \ } 360 \qquad \mathrm{(B) \ } 460 \qquad \mathrm{(C) \ } 490 \qquad \mathrm{(D) \ } 590 \qquad \mathrm{(E) \ } 720 </math> | |
| + | |||
| + | ==Solution== | ||
| + | The walls are <math>13*5=65</math> and <math>10*5=50</math> in area, and the ceiling has an area of <math>10*13=130</math>. | ||
| + | |||
| + | <math>((65+50)2)2+130=590 \Rightarrow \boxed{\mathrm{(D) \ }}</math> | ||
| + | |||
| + | ==See also== | ||
Revision as of 09:01, 5 February 2008
Problem
A barn with a roof is rectangular in shape, 
yd. wide, 
yd. long and 
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:
Solution
The walls are 
and 
in area, and the ceiling has an area of 
.
