Answered

The length of a rectangle is 2 more than the twice its width. If the area of the rectangle is 24m²,find the dimensions.

Sagot :

Lanchuiviz
l=2+2x
w=x
lw=24
(2+2x)(x)=24
2x+2x^2=24
2x^2+2x-24=0
(x-3)(2x+8)=0
3 is the width
2+2(3)= 8 is the length 
Riza1viz
[tex]width : \ w \\length : \ l=2w+2 \\Area : \ A=24 \ m^2\\\\A=w\cdot l\\24=w(2w+2)\\24=2w^2+2w\\2w^2+2w-24=0\ \ / :2\\w^2+ w-12=0 \\ (w-3)(w+4) =0[/tex]

[tex]w-3 =0 \ \ or \ \ w+4 = 0 \\ w=3\ m \ \ or \ \ w=-4 \ \ w< 0 \\\\ w=3 \ m\\l=2\cdot 3+2=6+2=8 \ m[/tex]