Question

Find the area of the rectangle below by multiplying its length and width.



(7x-1) units

(3x-2) units

Answer 1

Hello!

When multiply binomials together, we should use the FOIL method.

The FOIL method is an acronym for First, Outer, Inner, and Last.

First, let's set up the expression.

(7x - 1)(3x - 2)

Now, we can multiply in accordance with the FOIL method.

First: 7x · 3x = 21x²

Outer: 7x · -2 = -14x

Inner: -1 · 3x = -3x

Last: -1 · -2 = 2

Now, we simplify the inner terms.

21x² - 14x - 3x + 2

21x² - 17x + 2

Therefore, the area of the rectangle is 21x² - 17x + 2.

Answer 2

The area of the rectangle is (21x² - 17x + 2) units².

What is a rectangle?

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Given the length of the rectangle is (7x-1) units, while its breadth is (3x-2) units. Therefore, the area of the rectangle is,

Area of rectangle = (7x-1) units × (3x-2) units

= 21x² - 14x - 3x + 2

= 21x² - 17x + 2 units²

Hence, the area of the rectangle is (21x² - 17x + 2) units².

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