I need to know how to do this problem and how to set it up and solve it

thank you! :)

Tutors, sign in to answer this question.

The equations are:

2 x a +2 x b= 42

a = b+5

replacing a into the first equation we obtain

2(b + 5) + 2 x b= 42

4 x b = 32

b = 8

a = 13

Perimeter

26+16 = 42

CHECK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Since we are trying to find the values of two variables (the length L and the width W), we need at least two equations. The perimeter of the rectangle is 42 inches, and the length is 5 inches longer than the width. Mathematically, we get our two equations from these two statements.

First, since the perimeter is 42 inches, we add the four sides and get L + L + W + W = 42. Adding like terms gives us

2L + 2W = 42

Next, the length is 5 inches longer than the width, so

L - 5 = W

We then solve these two equations for L and W. I will use substitution, but elimination would also work.

2L + 2W = 42

L - 5 = W

2L + 2(L-5) = 42

2L + 2L - 10 = 42

4L - 10 = 42

4L = 52

L = 13

Having solved for L, we can now substitute 13 for L in L - 5 = W to solve for W.

13 - 5 = W

W = 8

Our final step is to check by plugging our values into the original equations and making sure they work:

2(13) + 2(8) = 42 (Correct)

13 - 5 = 8 (Correct)

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Rebecca D.

Experienced and Patient Tutor for Math and Reading

$10.75 per 15 min

View Profile >

Eric T.

Mathematics is the language of the universe

$11.25 per 15 min

View Profile >

Alexis G.

All-Subject/Test Prep Tutor, Specializing in Language Instruction

$11.25 per 15 min

View Profile >