Question

The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents the area of the rectangle?

Answer 1

The are of a rectangle can be obtained by using the formula 

A=L*W

Since we are already given with the L, which is (6x-2), and the width, which is (x-1), the area of the rectangle is then

A = (6x-2)(x-1)

which, upon further simplification will give us

A = 6x^2-2x-6x+2

Combining like terms will yield

A = 6x^2-8x+2

Hence, the area of the specified rectangle is represented by the expression 6x^2 -8x +2.

Answer 2

The expression for the area of the rectangle is 6x²-8x+2.

What is area?

This is the region or space bounded by a plane shape.

To calculate the expression for the area of the triangle, we use the formula below

Formula:

• A = lw............... Equation 1

Where:

• A = Area of the rectangle
• l = Length of the rectangle
• w = Width of the rectangle.

From the question,

Given:

• l = (6x-2)
• w = (x-1)

Substitute these values into equation 1

• A = (6x-2)(x-1)
• A = 6x²-6x-2x+2
• A = 6x²-8x+2

Hence, the expression for the area of the rectangle is 6x²-8x+2.

Learn more about area here: https://brainly.com/question/17713367

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