Question

2x + 9

Tomatoes
1
Corn
6x - 3
Turnip
Image by HISD Secondary Mathematics using MS WORD
Which expression represents the area of the vegetable garden in square yards?
8x2 + 54x + 27
12x2 - 27
8x2 + 60x - 27
12x2 + 48x - 27

Answer 1

I think is 12x2 +48x-27 but I'm confused

Answer 2

`A=12x^2+48x-27`

Explanation:

Area of a Rectangle

The image shows a rectangular vegetable garden with different crops.

The rectangle has a length of L=2x+9 yards and a width of W=6x-3 yards.

The area of a rectangle is:

A = WL

`A=(2x+9)(6x-3)`

Operating:

`A=2x(6x)-2x(3)+9(6x)-9(3)`

`A=12x^2-6x+54x-27`

Simplifying:

`\boxed{A=12x^2+48x-27}`