Let's set up an equation after defining some variables:
L = length & W = width
L = 2W + 7 (length is 7 more than twice the width)
Perimeter of a rectangle is 2L + 2W...
2(2W + 7) + 2W = 44.
Distribute the 2.
4W + 14 + 2W = 44.
Combine like terms and subtract 14 from both sides.
6W = 30.
Solve for W.
W = 30/6 = 5.
So, L = 2W + 7 = 2(5) + 7 = 10 + 7 = 17.
L = 17 cm.
W = 5 cm.
Check: 2L + 2W = 44.
2(5) + 2(17) = 44.
10 + 34 = 44. Yes.