Hello and Happy Halloween! Trying to get this problem and could use some help.

Question

Find the dimensions of the rectangle with minimum perimeter if its area is 400 square meters. Find the least perimeter.

I know that a rectangle has two sides that are equal and two other sides that are equal but I am unsure about what type of equation to use. I thought maybe I would try guess and check but I would rather have an equation.

Answer 1

"two sides that are equal and two other sides that are equal" is a good start. Call the length of one type of side x, and the other y.

Then the area is x * y

And the perimeter is 2x + 2y

Check this on a small 5 * 3 rectangle, to be sure you understand it.

We are told the area is 400. Does this give you enough to go further?