Question

The length of a rectangle is twice the width. The perimeter of the rectangle is 24 feet. What is the length of the rectangle?

Let x = the width of the rectangle.
Which let statement would you use for the length?

Answer 1

So,

w = width

2w = length

The perimeter is the sum off all the sides of the rectangle

P = w + w + l + l = 2w + 2l

Using our terms and the value of 60, substitute them into the equation.

60 = 2w + 2(2w)

60 = 6w

w = 10 ft

l = 2w = 20 ft

Checking our solution:

60 ft = 10 ft + 10 ft + 20 ft + 20 ft

60 ft = 60 ft  

Now onto the area, the area of a rectangle is the product of its dimensions and is given by the formula

Area = l*w

substituting our values in from above

A = (20 ft)*(10 ft) = 200 ft2