the area of a square of length(x+4)cm is equal to the area of a rectangle whose length is(2x+2)cm and width is xcm. Find x.

Question

noelgreco · Answer

Can you draw a diagram of each shape?

noelgreco · Answer

Labeling the sides, of course.

zzr0ck3r · Answer

area of square = length^2
area of rec = length * width
so (x+4)^2 = x(2x+2)
x^2 +8x + 16 = 2x^2 + 2x
-x^2 + 6x + 16= 0
x^2-6x-16 = 0
x^2-2x+8x-16 = 0
x(x-2) +8(x-2) = 0
(x-2)(x+8) = 0
x-2 = 0 
x+8 = 0
x = 2 or -8 but -8 makes no sence in the context 
so x = 2

zzr0ck3r · Answer

wow just noticed this was 3 days old...strange.

zzr0ck3r · Answer

@loveth2093 why are you still bumping this? does it not make sense?