Question

A rectangle has a length of 5r - 6 and a width of 2r + 3. Find the area.

Answer 1

`10r^2+3r-18` sq. units

Explanation:

The area of a rectangle is its length multiplied by its width, so in this case:

`A=(5r-6)(2r+3)`

We can solve this using the distributive property to expand the right side, and then combine like terms to simplify:

`(5r-6)(2r+3)=\\=2r(5r-6)+3(5r-6)\\=10r^2-12r+15r-18\\=10r^2+3r-18`