Question

PLEASE HELP ASAP

Write a simplified polynomial expression in standard form to represent the area of the rectangle below:


2x2 + 3x − 20
2x2 + 13x − 1
2x2 + 13x − 20
2x2 + 3x − 1

Answer 1

Option A:
`2x^(2) +3x-20` is the area of the rectangle

Step-by-step explanation:

Given that the length of the rectangle is
`2x-5`

The width of the rectangle is
`x+4`

Area of the rectangle:

The area of the rectangle can be determined using the formula,

`Area = length * width`

Substituting the values of length and width, we get,

`Area=(2x-5)(x+4)`

Multiplying each term within the parenthesis, we get,

`Area=2x^(2) +8x-5x-20`

Adding the like terms, we get,

`Area=2x^(2) +3x-20`

Thus, the area of the rectangle is
`2x^(2) +3x-20`

Hence, Option A is the correct answer.