Question

Part A: The area of a square is (16a2 − 24a + 9) 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 (9a2 − 25b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points) will give brainlist

Answer 1

Answer:

Part A: 4a-3

Part B: (3a-5b) × (3a+5b)

Step-by-step explanation:

16a² - 24a + 9

(4a)² - 2(4a)(3) + 3²

(4a - 3)² = side²

side = 4a - 3

9a² - 25b²

(3a)² - (5b)²

(3a - 5b)(3a + 5b)

Answer 2

Answer:

Part A:

The area of a square is (16a2 − 24a + 9).

  16a2 − 24a + 9

= (4a)^2 - 2 x 4a x 3 + 3^2

= (4a - 3)^2

=> Side of square: 4a - 3 (if a > 4/3) or 3 - 4a (if a < 4/3)

Part B:

The area of a rectangle is (9a2 − 25b2).

  9a2 − 25b2

= (3a)^2 - (5b)^2

= (3a - 5b)(3a + 5b)

=> Side of rectangle: 3a - 5b and 3b + 5b

Hope this helps!

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