The width of a rectangular garage is 8 feet less than the length. How do you express the perimeter of the garage as a function of the length?

Answer 1

#P = 4(l - 4)#

We can call the length of the garage #l#.
Therefore the width, or we can call it #w#, of the garage is #l - 8# or #w = l - 8#

The formula for the perimeter of a rectangle is:

#P = 2(w + l)#
We can substitute #l - 8# for #w# giving:
#P = 2(l - 8 + l) ->#
#P = 2(l + l - 8) ->#
#P = 2(2l - 8) ->#
#P=2(2(l - 4)) ->#
#P = 4(l - 4)#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

Let's denote the length of the rectangular garage as L and the width as W. Given that the width is 8 feet less than the length, we can express this relationship as:

W = L - 8

The perimeter (P) of a rectangle is given by the formula:

P = 2(L + W)

Substituting the expression for W into the perimeter formula, we get:

P = 2(L + (L - 8))

Simplifying further:

P = 2(2L - 8)

P = 4L - 16

Therefore, the perimeter of the garage can be expressed as a function of the length (L) as:

P(L) = 4L - 16

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7