Question

The perimeter of a rectangle is equal to 10. If the length is halved and the width is doubled, the new perimeter is increased by 4. What
is the length of the original rectangle?
4 1 2 3

Answer 1

Step-by-step explanation:

Let's call x the lenght and y the height. The perimeter will be:

p = 2x + 2y = 10

When the lenght is halved and the height double we'll have:

p = x + 4y = 14

These 2 equations form a system of equations2 that can be solved and give as result:

y = 3

x = 2