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== | ||
| + | {{AHSME 50p box|year=1951|num-b=3|num-a=5}} | ||
| + | |||
| + | [[Category:Introductory Geometry Problems]] | ||
| + | {{MAA Notice}} | ||
Latest revision as of 12:19, 5 July 2013
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 
.
See Also
| 1951 AHSC (Problems • Answer Key • Resources) | ||
| 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 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
