The area of a rectangle is 6x^2 -5x-4. the width is 2x+1. what is the length

Begin with the formula for the area of a rectangle:

Area of rectangle = length times width

6x² - 5x - 4 = length × (2x + 1) ← substituted known expressions

(3x - 4)(2x + 1) = length × (2x + 1) ← factored the trinomial

3x - 4 = length ← divided both sides of the equation by (2x + 1)

Length of the rectangle is 3x - 4

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm