SOLUTION: 3) the dimensions of a rectangle are enlarged by 50 percent each,what percent of the original area is the new area? 4)find the smallest number wh

Algebra ->  Inequalities -> SOLUTION: 3) the dimensions of a rectangle are enlarged by 50 percent each,what percent of the original area is the new area? 4)find the smallest number wh      Log On


   



Question 1096455: 3) the dimensions of a rectangle are enlarged by 50 percent each,what percent of the original area is the new area? 4)find the smallest number which then increased by 5 is divisible by 12,14,18,21,and 7? 5)In a spelling test gabby missed 8 word. he obtained a score of 68%. how many words were on the test?
Found 2 solutions by addingup, josmiceli:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
3) you are dealing with exponential growth, the area of a rectangle is squared.
So, a rectangle 4 wide x 6 long = 24 square (meters, inches, whatever)
If you grow by 50%: 4 + 0.5(4) = 6 and the length grows to 9, and 6 x 9 = 54. The original area is 24/54 = 44% of the new area
The new area is 54/24 = 225% of the old area

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ and +y+ = the original dimensions
+1.5x+ and +1.5y+ = new dimensions
-------------------------------------------
+x%2Ay+ = original area
and
+%28+1.5x+%29%2A%28+1.5y+%29+=+2.25%2Ax%2Ay+
and
+%28+2.25%2Ax%2Ay+%29+%2F+%28+x%2Ay+%29+=+2.25+
+2.25%2A100+=+225+
225%
---------------------------------
+252%2F12+=+21+
+252%2F14+=+18+
+252%2F18+=+14+
+252%2F21+=+12+
+252%2F7+=+36+
+252+-+5+=+247+
247 increased by 5 is smallest number
--------------------------------------
Let +x+ = number of words on the test
+%28+x+-+8+%29+%2F+x+=+.68+
+x+-+8+=+.68x+
+.32x+=+8+
+x+=+25+
There were 25 words on the test
--------------------------------
check:
+%28+25+-+8+%29+%2F+25+=+.68+
+17+%2F+25+=+.68+
+.68+=+.68+
OK