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BRAINLIESTTTTTT!
Part A: The area of a square is (9x^2 + 24x + 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 (16x^2 − 25y^2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Respuesta :

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Part A
9x^2 + 24x + 16 = (3x + 4)(3x + 4)length of each side = 3x + 4 units.
Part B:
16x^2 - 25y^2= (4x + 5y )( 4x - 5y)
length = 4x + 5y and width = 4x - 5y

The length of each side of square is 3x+4.

The dimension of rectangle is (4x-5y)(4x+5y)

What is area?

The area is the amount of space within the perimeter of a 2D shape. It is measured in square units, such as cm², m², etc.

Given:

1. 9x²+24x+16

  (3x)² +24x +4²

  (3x)² +2*3x*4 +4²

  (3x+4)²

  (3x+4)(3x+4)

Hence, the length of each side is 3x+4

2. Area of rectangle= 16x² -25y²

                                 =  (4x)² -(5y)²

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

Hence, length= 4x+5y and breadth= 4x-5y

Learn more about area here:

https://brainly.com/question/23842295

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