164k views
4 votes
the length of a rectangle is 3 cm greater than its width the perimeter is 30 cm. Find the dimensions of the rectangle. Must show work

User Nickso
by
5.0k points

1 Answer

0 votes

Answer:

The width of the rectangle is 6 cm and its length is 9 cm

Explanation:

Length of the rectangle = 3 cm greater than its width

Perimeter of the rectangle = 30 cm

Find the dimensions of the rectangle.

x = Width of the rectangle

x + 3 = Length of the rectangle

Now, let's solve for x, using the perimeter formula this way:

2 * width + 2 * length = Perimeter of the rectangle

Replacing with the values and variables we have:

2 * x + 2 * (x + 3) = 30

2x + 2x + 6 = 30

4x = 30 - 6

4x = 24

x = 6 ⇒ x + 3 = 9

The width of the rectangle is 6 cm and its length is 9 cm

User Swingdoctor
by
4.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.