Answer:
The length of the rectangle is
11cm
Explanation:
Perimeter of a rectangle = 2l + 2w
where l is the length
w is the width
difference between the length and width is 5
That's
l - w = 5
Making w the subject
w = l - 5
Perimeter of the rectangle is 34cm
So we have
34 = 2l + 2( l - 5)
34 = 2l + 2l - 10
4l = 34 + 10
4l = 44
Divide both sides by 4
l = 11
Therefore the length of the rectangle is
11cm
Hope this helps you