Can someone help please, will give brainiest if correct!!!!
2 answers:
Answer:
AB = 4.5 cm
Step-by-step explanation:
Area = sum of areas of two rectangles
36 = [x(x - 4)] + [(x - 2)(2x + x)]
36 = x² - 4x + 3x² - 6x
4x² - 10x - 36 = 0
Dividing by 2:
2x² - 5x - 18 = 0
2x² - 9x + 4x - 18 = 0
x(2x - 9) + 2(2x - 9) = 0
(2x - 9)(x + 2) = 0
x = -2, 9/2
AB = x = 4½ cm
Answer:
AB = 9/2 cm
AB = 4.5 cm
Step-by-step explanation:
The area of small rectangle
x * (x-4) = x^2 -4x
The area of the big rectangle
The height is 2x +x and the width is x-2
(2x+x) * (x-2)
(3x) * (x-2)
3x^2 -6x
Add the areas together
x^2 -4x + 3x^2 -6x
4x^2 -10x
This is equal to 36
4x^2 -10x=36
Subtract 36 from each side
4x^2 -10x -36=36-36
4x^2 -10x-36=0
Divide each side by 2
2x^2 -5x -18=0
Factor
(x + 2) (2 x - 9) = 0
Using the zero product property
x+2=0 2x-9=0
x = -2 2x =9
x = -2 x = 9/2
Since we cant have a negative length
x = 9/2
AB = 9/2 cm
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