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ladyv
Guest
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.
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.