Question

PLEASE HELP I DON"T UNDERSTAND

SHOW WORK PLEASE


Part A: The area of a square is (9a2 − 24a + 16) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

Part B: The area of a rectangle is (25a2 − 36b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

Part A.

9a^2 - 24a + 16

= (3a - 4)(3a - 4).

Length of each side = 3a - 4 units.

Part B.

25a^2 − 36b^2

= (5a - 6b)(5a + 6b).

The dimensions are 5a-6b and 5a+6b.

Answer 2

The length of each side would be 3a - 4 units. The dimensions are 5a - 6b and 5a + 6b.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Part A.

The area of a square is $9a^2 - 24a + 16$ square units.

To determine the length of each side of the square by factoring the area expression completely.

$9a^2 - 24a + 16\\\\= (3a - 4)(3a - 4).$

The Length of each side = 3a - 4 units.

Part B.

The area of a rectangle is $25a^2 - 36b^2$square units.

To determine the dimensions of the rectangle by factoring the area expression completely.

$25a^2 - 36b^2\\= (5a - 6b)(5a + 6b).$

The dimensions are 5a - 6b and 5a + 6b.

Learn more about the area;

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