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

`2 {x}^(2) - 11x + 15`

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} ) *(x - 3)`

We expand

`2 {x}^(2) - 6x - 5x + 15`

This simplifies to:

`2 {x}^(2) - 11x + 15`