solve by factorisation
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Answer:
(x+2)(3x-2)-(x+2)(x+4)=12
x+2(3x-2-x-4)=12
x+2(2x-6)=12
2(x+2)(x-3)=12
x^2-x-6-6=0
x^2-x-12=0
x^2-4x+3x-12=0
(x-4)(x+3)=0
x=4
Answered by
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Answer:
x=4 cm
Step-by-step explanation:
Area of rectangle A=(x+2)(3x-2)
Area of rectangle B=(x+4)(x+2)
(x+2)(3x-2)=(x+4)(x+2)+12
3x²-2x+6x-4=x²+2x+4x+8+12
2x²-2x-24=0
x²-x-12=0
x²-4x+3x-12=0
x(x-4)+3(x-4)=0
(x+3)(x-4)=0
x=-3 or x=4
x>0 because it is a length
Therefore x=4
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