Question

The equation P= 2l + 2w models the perimeter, P, of a rectangle with a length of / units and a width of w units.

A rectangle has perimeter of 60 units and a length that is double its width.
What is the width in units
of the rectanale?

Answer 1

• Width be x
• Length be 2x

`\\ \rm\rightarrowtail 2(2x+x)=60`

`\\ \rm\rightarrowtail 2(3x)=60`

`\\ \rm\rightarrowtail 3x=30`

`\\ \rm\rightarrowtail x=10`

Answer 2

width = 10 units

Explanation:

Given : l = 2w

P = 2l + 2w

P = 2(2w) + 2w

60 = 6w

w = 10 units