Justin calculates the perimeter of a rectangle with a length of 2x-3 and width of X+4. He tells his teacher the answer is 3x-1. Is he correct or incorrect and why?

No

Step-by-step explanation:

No, because the perimeter of a rectangle is 2(x+y). Justin added the sides. Then he should have multiplied by 2 but he didn't so Justin is incorrect.    

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No, his answer should have been 6x+2

Step-by-step explanation:

The equation for perimeter is 2L+ 2W=P

so 2 (2x-3) + 2 (x+4) = 6x+2

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4