Question

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

Answer 1

Answer:

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

Step-by-step 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:

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