Question

A fectangle's length is 2 feet less than three times its width. If the perimeter is 44 feet, what
is the length?

Answer 1

A rectangle length is 2 feet less than three times its width. The length of rectangle is 16 feet

Solution:

Given, a rectangle's length is 2 feet less than three times its width.  

The perimeter is 44 feet

We have to find what is the length?  

Let the width of the rectangle be b then length of rectangle becomes 3b – 2

Perimeter of rectangle is given as:

Perimeter = 2(length + width)

Now, given that, perimeter = 44  

2(length + width) = 44

2(3b – 2 + b) = 44

3b – 2 + b = 22

4b = 22 + 2

4b = 24

b = 6

So, width of rectangle is 6 feet , then length is 3(6) – 2 = 18 – 2 = 16

Hence, the length of the rectangle is 16 feet.