Difference between revisions of "1993 AJHSME Problems/Problem 21"
Mrdavid445 (talk | contribs) (Created page with "==Problem== If the length of a rectangle is increased by <math>20\% </math> and its width is increased by <math>50\% </math>, then the area is increased by <math>\text{(A)}\ 1...") |
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<math>\text{(A)}\ 10\% \qquad \text{(B)}\ 30\% \qquad \text{(C)}\ 70\% \qquad \text{(D)}\ 80\% \qquad \text{(E)}\ 100\% </math> | <math>\text{(A)}\ 10\% \qquad \text{(B)}\ 30\% \qquad \text{(C)}\ 70\% \qquad \text{(D)}\ 80\% \qquad \text{(E)}\ 100\% </math> | ||
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| + | ==Solution== | ||
| + | If a rectangle had dimensions <math>10 \times 10</math> and area <math>100</math>, then its new dimensions would be <math>12 \times 15</math> and area <math>180</math>. The area is increased by <math>180-100=80</math> or <math>80/100 = \boxed{\text{(D)}\ 80\%}</math>. | ||
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| + | ==See Also== | ||
| + | {{AJHSME box|year=1993|num-b=20|num-a=22}} | ||
Revision as of 23:31, 22 December 2012
Problem
If the length of a rectangle is increased by 
and its width is increased by 
, then the area is increased by
Solution
If a rectangle had dimensions 
and area 
, then its new dimensions would be 
and area 
. The area is increased by 
or 
.
See Also
| 1993 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 20 |
Followed by Problem 22 | |
| 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 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
