Question

A rectangle has a length (2x−5) and a width of (x−3) . What is the area of the rectangle?

Answer 1

Answer:

2x² - 11x + 15

Step-by-step explanation:

Find the area of the rectangle by multiplying the length and width together, using FOIL

(2x - 5)(x - 3)

Multiply the first terms:

(2x)(x) = 2x²

Multiply the first term in the parentheses by the last term in the second set of parentheses:

(2x)(-3) = -6x

Multiply the second term in the first set of parentheses by the first term in the second set:

(-5)(x) = -5x

Multiply the last terms:

(-5)(-3) = 15

Add these all together, then add like terms

2x² - 6x - 5x + 15

2x² - 11x + 15

So, the area of the rectangle is 2x² - 11x + 15