A rectangle has a height of 3 and a width of 2x^2+3x-52x 2 +3x−52, x, squared, plus, 3, x, minus, 5. Express the area of the entire rectangle. Expression should be expanded.

Answer 1

The area of a rectangle is height * width

Here the height is 3

the width is 2x^2 + 3x - 5

so the area is 3 * (2x^2 + 3x - 5)

using the distributive property (a(b+c) = ab + ac)

the area is 3*2x^2 + 3*3x - 3*5

6x^2 + 9x - 15