A rectangle is 5cm longer than it is broad. It perimeter is 26cm. What is the length and the width of the rectangle.

Ok so the perimeter is the sum of all four sides, in this case, 26cm. The sides are then x, x, x+5, and x+5. 26=x+x+x+5+x+5 OR 26=4x+10.

x+5=length

x=width

subtract ten from each side:

16=4x

divide both sides by four:

x=4

Now we know the width. The length is the width plus 5.

4+5=9

Length: 9cm

Width: 4cm