Hello from MrBillDoesMath!
Answer:
10 and 13
Discussion:
Let "w" be the width of the rectangle. Then
Perimeter= 46
2w + 2l = 46
2w+ 2(w+3) = 46 => as l = w+ 3
2w + 2w + 2*3 = 46 =>
2w + 2w + 6 = 46 => 2 + 6 = 8
6 + 4w = 46 => subtract 6 from both sides
4w = 46 - 6 = 40 => divide both sides by 2
w = 40/4 = 10
As l = w + 3, l = 10+ 3 = 13
Thank you,
MrBAs l =