70.5k views
5 votes
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

User Pattrice
by
5.6k points

1 Answer

2 votes

Answer:

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

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.

User AlexConfused
by
5.3k points