the perimeter of a rectangle is 21 cm. the length is 9.5cm greater than the width. find the width and length of the rectangle

The length is 10 cm, and the width is 0.5 cm.

Step-by-step explanation:

First, divide the perimeter by 2 to take off the extra sides.

21 / 2 = 10.5

The total of the sides is 10.5 cm, so now we know:

l + w = 10.5

We know that the length is 9.5 greater than the width, so we can substitute that in for the l.

w + 9.5 + w = 10.5

2w = 1

w = 0.5

The width of the rectangle is 0.5 cm.

10.5 - 0.5 = 10

The length of the rectangle is 10 cm.