Question

The length of a rectangle is (3x − 5) inches, and its width is 2x inches. Find the area of the rectangle.

Hint: Area of a rectangle = length × width.

Answer 1

Answer: A=6x^2-10x ✅

Step-by-step explanation:

Hii, do you need to find the area of the rectangle? Let me help you out! (:

Luckily, there's a formula to find this! (:

Area

To find the area of a rectangle, multiply its length times its width. This is shown below.

`\LARGE\boldsymbol{A=L W}`

Here, "A" denotes the area

"L" denotes the length

"W" denotes the width

NB : "L" and "W" are interchangeable

Next, it's just a matter of sticking in the known values...

`\twoheadrightarrow\sf A=2x(3x-5)`

===> it's perfectly legal to stick in the values the other way around, because they are interchangeable

Alright, the next step is to multiply the values...

`\twoheadrightarrow\sf A=(2x\cdot3x)-(2x\cdot(-5)`

Then we need to simplify...

`\twoheadrightarrow\sf A=6x^2-10x`

Voila! There's the area of this rectangle! (:

Cheers! (:

_______________

Hope I helped! Best wishes.

⚜ Reach far. Aim high. Dream big. ⚜

_______________

Answer 2

A = 6x² - 10x

General Formulas and Concepts:

Area of a Rectangle: Length × Width

To expand, use FOIL - First, Outside, Inside, Last

Explanation:

Step 1: Define variables

l = 3x - 5

w = 2x

Step 2: Find area

1. Substitute: A = (3x - 5)(2x)
2. Expand (FOIL): A = 6x² - 10x