The length of a rectangle is 3 inches more than twice the width. Find the length and the width if the perimeter is 98 inches.

Question

campbell_st · Answer

let the width be w

then the length is 2w + 3

so 

using P = 2w + 2l

you get 

98 = 2w + 2(2w + 3)

or 

98 = 6w + 6

now just solve for w

amenah8 · Answer

Thank you. Does w equal 92/6?

campbell_st · Answer

no

you get 

92 = 6w

divide both sides by 6

that will be the width... 

the length is 2w + 3

amenah8 · Answer

I got 15 and 1/3 (mixed number) as my answer for what w will be. My length was 33 and 1/3 (mixed number). I added the length and width together, but I didn't get 98. Where did I go wrong?

amenah8 · Answer

Campbell, are you still available ø help me with my problem, above? Thank you.

campbell_st · Answer

thats correct w = 15 1/3

length = 2w + 3   so   length = 2*15 1/3 + 3 = 33 2/3

hope it helps

amenah8 · Answer

The length and width are supposed to add up to 98, the perimeter, but the length (33 1/3) and the width (15 1/3) don't add up to 98.

amenah8 · Answer

Are you still there?

campbell_st · Answer

width is 15 1/3  and length 2w + 3 = 30 2/3 + 3 = 33 2/3