166k views
4 votes
:

The width of a rectangle is 5 cm more than triple its length. The perimeter of the
rectangle is 240 cm. What is the length and width of the rectangle?

1 Answer

3 votes

9514 1404 393

Answer:

  • length: 28.75 cm
  • width: 91.25 cm

Explanation:

Let L represent the length of the rectangle. Then the width is W=5+3L, and the perimeter is ...

P = 2(L+W)

240 = 2(L +(5 +3L))

120 = 5 +4L

115 = 4L

115/4 = L = 28.75 . . . . cm

W = 5+3L = 5 +3(28.75) = 91.25 . . . . cm

The length and width of the rectangle are 28.75 cm and 91.25 cm.

User Fowl
by
6.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.