SOLUTION: Can someone please help me. I've submitted this problem yesterday at 10:00 am and today at 1:00pm and still haven't gotten a response. Suppose you work in an office and your cu

Question 188704: Can someone please help me. I've submitted this problem yesterday at 10:00 am and today at 1:00pm and still haven't gotten a response.
Suppose you work in an office and your current cubicle is a square. The company is moving and your new cubicle will be 2 feet longer on one side and 3 feet shorter on the other.
a) Determine the dimensions of your new cubicle based on your original square, which is x feet per side.

x + 2 would be the side 2 feet longer.

x - 3 would be the side 3 feet shorter.

b) Write the equation for the area of your new cubicle.

(x + 2)(x - 3) Area = Length * Width

Using the FOIL method to multiply the polynomials

Note the "FOILy face".

c) If your old cubicle was 8 feet by 8 feet, is your new cubicle larger or smaller and by how much?

8 * 8 = 64 ft2 Size of original cubicle.

82 - 8 - 6 Substitute in value of x which is 8 in this case.

64 - 14

50 ft2 Size of new cubicle

64 - 50 = 14 ft2 New cubicle is 14 square feet smaller than old cubicle.

Using the example above, develop a similar problem in which you change the size of a shape. Show the same steps as above. No graphics needed.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a) You are correct. The dimensions are by

b)

Area:

So the area is

--------

c)

Original Area:

New Area:

Difference in Areas:

New cubicle is smaller by 14 square feet (since ). You are correct.

---------------

d)

Let's say that we start with a square again with side lengths of "x". Now one side is lengthened by 5 while the other is shortened by 2.

So the new dimensions would be by

The new area would be

Finally, if , then

Old area:

New area:

Difference in areas:

New area is now 9 square feet larger than the old area.
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