Question

A rectangle has width of three times the square root of five centimeters and a length of four times the square root of ten centimeters. How would I find the area of the rectangle?

Answer 1

Width `W=3sqrt(5)`
Length `L=4sqrt(10)`
Area(`S`) = Width(`W`) * Length(`L`)
`S=W*L=3sqrt(5)*4sqrt(10) = 12sqrt(5)sqrt(5)sqrt(2) = 60sqrt(2)`

Explanation:

The area of a rectangle is measured as a product of its width by its length.
Logic behind this is not so obvious, you can find an interesting discussion of a concept of area at Unizor following the menu items Geometry - Length, Area.

Therefore, knowing the width and the length of a rectangle, we can find an area as their product.