anonymous
  • anonymous
A rectangle has a base of 5 inches and a height of 7 inches. If the dimensions are cut in half, what will happen to the area of the rectangle? It will be half of the original size. It will be the same as the original size. It will be four times the original size. It will be one-fourth the original size.
Mathematics
schrodinger
  • schrodinger
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ganeshie8
  • ganeshie8
make a guess
anonymous
  • anonymous
c
jjwalton04
  • jjwalton04
Derp. Well no, heres the explination It will be 1/4 the original size. original size 5"*7"=35sq " 5/2 to divide base in half = 2 1/2" 7/2 to divide height in half = 3 1/2" then multiple 2 1/2" x 3 1/2" first change mixed numbers to improper fractions 2 1/2 = 5/2 and 3 1/2=7/2 5/2*7/2=35/4 or 8 3/4 sq in. So it is 1/4 the original size you can check this by multiplying 35/4*4/1 = 35 square inches the original was 35 square inches

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jjwalton04
  • jjwalton04
Explanation
ganeshie8
  • ganeshie8
really ? how can you ever get more area by reducing the dimensions ?
ganeshie8
  • ganeshie8
|dw:1440599295971:dw|
ganeshie8
  • ganeshie8
cut width in half also cut length in half
anonymous
  • anonymous
a
ganeshie8
  • ganeshie8
|dw:1440599357106:dw|
ganeshie8
  • ganeshie8
how much is that shaded area compared to the original big rectangle ?
anonymous
  • anonymous
1/4 of it
ganeshie8
  • ganeshie8
Yes, so when you reduce the dimensions by half, the new area becomes 1/4 of the original area
anonymous
  • anonymous
d
ganeshie8
  • ganeshie8
yes! btw good job! always draw a picture even if it is unnecessary :)
anonymous
  • anonymous
ok

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