FACTORING POLYNOMIAL TO DETERMINE THE DIMENSION OF RECTANGLE

To find the area of the rectangle, we can use the formula

Write two binomials that could represent the length and width of the rectangle.

Problem 1 :

4x² - 7x – 2

Solution :

Area of rectangle = length × width

Area = 4x² - 7x – 2

= 4x² - 8x + x – 2

= 4x(x - 2) + 1(x - 2)

= (4x + 1) (x - 2)

So, the length of rectangle is (4x + 1), and width is (x - 2).

Problem 2 :

16x² - 25

Solution :

Area of rectangle = length × width

Area = 16x² - 25

(a² - b²) = (a + b) (a - b)

= (4x + 5) (4x - 5)

So, the length of rectangle is (4x + 5), and width is (4x - 5).

Problem 3 :

9x² - 6x + 1

Solution :

Area of rectangle = length × width

Area = 9x² - 6x + 1

= 9x² - 3x – 3x + 1

= 3x(3x - 1) – 1(3x - 1)

= (3x - 1) (3x - 1)

So, the length of rectangle is (3x - 1) and width is (3x - 1).

Problem 4 :

3x² + 5x – 2

Solution :

Area of rectangle = length × width

Area = 3x² + 5x – 2

= 3x² + 6x – x – 2

= 3x(x + 2) – 1(x + 2)

= (3x - 1) (x + 2)

So, the length of rectangle is (3x - 1) and width is (x + 2).

Recent Articles

  1. Solving Word Problems on Numbers Worksheet

    Feb 25, 24 07:44 AM

    Solving Word Problems on Numbers Worksheet

    Read More

  2. Solving Word Problems on Numbers

    Feb 24, 24 11:07 PM

    Solving Word Problems on Numbers

    Read More

  3. Reducing Ratios to Lowest Terms Worksheet

    Feb 24, 24 08:49 PM

    Reducing Ratios to Lowest Terms Worksheet

    Read More