Question

A rectangle has a length of 2x 5 units and a width of , 3 units. What is the area, in square
units, of the rectangle?
A. 2x^2 - 15
B. 2x^2 + 15
C. 2x^2 - 11x - 15
D. 2x^2 - 11x + 15​

Answer 1

Answer:

$2 {x}^{2} - 11x + 15$

Step-by-step explanation:

We we're given the length of the rectangle as

$l = 2 {x} - 5$

and the width of the rectangle as :

$w = x - 3$

Recall that, the area of a rectangle is

Area=l×w

We substitute the given dimensions of the rectangle into the formula to get:

$area =( 2 {x} - {5} ) \times(x - 3)$

We expand

$2 {x}^{2} - 6x - 5x + 15$

This simplifies to:

$2 {x}^{2} - 11x + 15$