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)

Answer 1

@Shadow

Answer 2

@Hero

Answer 3

@AnimeGhoul8863 how far have you gotten with either part?

Answer 4

no wear T_T

Answer 5

im not good with area of squares

Answer 6

Maybe not, but are you at least able to factor the given expressions?

Answer 7

let me see and try

Answer 8

if u factor the expression i get (4a-3)^2

Answer 9

Looks right. So the length of each side of the square would be the expression in parentheses. But I'm guessing you probably have to find the exact numerical length right?

Answer 10

Actually, yeah, it should be just the expression in the parentheses since they did not give you the numerical area.

Answer 11

And part B is similar to part A in terms of solving.

Answer 12

so @Hero part a would look like this

Part A: (16a2 − 24a + 9)
(16a2 − 12a) +(-12a + 9)
4a (4a-3) -3( 4a-3)
(4a-3)(4a-3)
=(4a-3) (4a-3)

Answer 13

Yes, correct and 4a - 3 is the length one side of the square.

Answer 14

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)

Answer 15

so i do the same?

Answer 16

Exactly

Answer 17

Part B: (9a2 − 25b2)
3^2a^2 - 25b^2
3^2a^2 - 5^2b^2
(3a)^2 - 5^2b^2
(3a)^2 - (5b)^2
= (3a+5b) (3a-5b)

Answer 18

@Hero

Answer 19

Looks good to me.

Answer 20

mind helping me with one more question

Answer 21

Okay, one more ...