the perimeter of 94cm if the length is 2 less than six times the width

Question

find the dimensions of a rectangle with a perimeter of 94cm if the length is 2 less than six times the width

Answer 1

Here's what we know:

P = 2L + 2w

P = 94 (perimeter is 94 cm)

L = 6w - 2 (Length is width times 6, minus two)

 

Plug in the values:

94 = 2(6w - 2) + 2w

Factor/divide out 2:

47 = 6w - 2 + w

Simplify:

47 = 7w - 2

Add 2:

49 = 7w

 

I'm sure you can find w from here, and you use that to find L.