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 = 6x² - 10x

General Formulas and Concepts:

Area of a Rectangle: Length × Width

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

Step-by-step 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

Answer 2

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! (:

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Hope I helped! Best wishes.

⚜ Reach far. Aim high. Dream big. ⚜

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