Question

Okay ummm..... How do I solve this? Please explain & show your work!! :) Thanks

- The length of a rectangle is 9.7 cm more than 4 times the width. The perimeter of the rectangle is 91.4 cm. Write and solve a system of linear equations to represent the situation. Explain the method you chose to solve it. What are the dimensions of the rectangle? Be sure to check your solution.

Answer 1

If you name the length of the rectangle as l, and the width as w you can create an equation like this. The perimeter:

2l + 2w = 91.4

We know that the the length is 9.7cm more than the width quadrupled so we have,

l = 9.7 - 4w

This will allow you to solve for w on the first equation and then you can solve the entire system.

Answer 2

Thanks!!!! :)

Answer 3

You're welcome.