The dimensions of a rectangle are 2 x − 5 and 3 x + 3 . Which expression represents the area of the rectangle in simplest terms? A. 6 x 2 − 9 x − 15 B. 6 x 2 − 9 x + 15 C. 6 x 2 + 9 x − 15 D. 6 x 2 − 15 x − 9

A

Step-by-step explanation:

The area of a rectangle is the product of its dimensions, that is

A = (2x - 5)(3x + 3) ← expand using FOIL

  = 6x² + 6x - 15x - 15 ← collect like terms

  = 6x² - 9x - 15 → A

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

thats one

step-by-step explanation: