Question

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

Answer 1

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