Question

The perimeter of a rectangle is equal to 20. If the length is tripled and the width is doubled, the new perimeter is increased by 26. What is the length of the original rectangle? 9, 5, 7, 3

Answer 1

The original length of the rectangle is 3.

Step-by-step explanation:

Let's set up the problem using variables.

Given that the perimeter of the rectangle is 20, we can set up the equation: 2l + 2w = 20.

Next, we are told that if the length is tripled and the width is doubled, the new perimeter is increased by 26. So the new perimeter can be written as: 2(3l) + 2(2w) = 20 + 26.

Simplifying the equation, we get 6l + 4w = 46. We now have a system of two equations with two unknowns. Solving this system, we find that the original length of the rectangle is 3.