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A rectangle has an area 12cm². If the length of the rectangle is ( x + 1 )cm and the width is x cm, find the possible value(s) of x . Show the working please thank you

Respuesta :

doyouneedhelp
x can be 3 because:
(3+1)(3)=(4)(3)=12
I believe that is the only possible value for x.
Good luck to you!
vv189

Answer:

x can be 3 or (-4) because

area of a rectangle= length × breadth

12=x×(x+1)

12=x^2+x

x^2+x-12=0

x^2 +4x-3x-12=0

x(x+4)- 3(x+4)=0

(x+4)(x-3)=0

(x+4)=0 or (x-3)=0

Therefore, x=(-4) or 3

Since, the dimensions of a rectangle cannot be negative, x=3.

Therefore, the width of a rectangle(x)=3 cm,

the length of a rectangle(x+1)=(3+1)=4 cm

Pls mark me as the brainliest.

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