the perimeter of a rectangle is 64f the width is 1/2 the length less 1 foot shouldnt the equation be

1+1/2l- 1 equals 64

the perimeter of a rectangle is 64f the width is 1/2 the length less 1 foot shouldnt the equation be

1+1/2l- 1 equals 64

Tutors, please sign in to answer this question.

Olney, MD

The perimeter of a rectangle is the distance completely around the rectangle. Imagine you're walking around the rectangle starting from a corner. You'd walk up the length L, then turn and walk along the width W, then turn and walk another length L, then turn and walk another width W to get back to where you started. So you walked 2 lengths and 2 widths, The perimeter then is computed as:

Perimeter of a rectangle = 2L + 2W = 2(L + W)

In your problem, the perimeter is 64 feet and the width is 1/2 the length minus one foot, which is W = (1/2)L - 1. Looks like you almost got it right. Now plug (1/2)L-1 in for W in the Perimeter equation above and let me know what you get (in the comments).

[Teaching moment. Please let the student complete the solution. Thank you.]

Middletown, CT

Hi Karen;

length....x

width...(1/2)x-1

perimeter=64

perimeter=2(length+width)

64=2[x+(1/2)x-1]

64=2[(3/2)x-1]

64=3x-2

Add 2 to both sides...

64+2=3x-2+2

66=3x

Divide both sides by 3...

66/3=(3x)/3

22=x

length...22

width...[(1/2)(22)]-1=11-1=10

Let's check our work...

perimeter=2(length+width)

64=2(22+10)

64=2(32)

64=64

Steven M.

Premium Test Prep and Subject Tutor - New York City UWS

New York, NY

5.0
(242 ratings)

Ronniel M.

Making Math Easy- SAT Prep, Algebra, Precalculus, English, Spanish

Clifton, NJ

5.0
(161 ratings)

Daniel H.

Harvard & Law School Graduate - Master Tutor for Tests/Academics

New York, NY

4.9
(44 ratings)

- Algebra 4469
- Algebra 1 3626
- Math Help 4718
- Algebra 2 3072
- Algebra Word Problem 2256
- Math 8274
- Math Help For College 1275
- Algebra Equation 306
- Algebra Question 219
- College Algebra 950

## Comments