The area of a rectangle is 27m^2, and the length of the rectangle is 3 m less than twice the width. Find the dimension of the rectangle.

Question

nikato · Answer

let w=width

and we know the length of the rectangle is 3 m less than twice the width
so that means 
length=2w-3

nikato · Answer

area of a rectangle is 27m^2
means
length x width= 27
so

w(2w-3)=27

and can you solve for w from here?

anonymous · Answer

are we distrubuting?

nikato · Answer

correct. distribute the left side first

anonymous · Answer

is it 2w^2-3w=27?

nikato · Answer

yes. now subtract 27 on both sides and you'll have a quadratic

anonymous · Answer

2w^2-3w=27=0?

anonymous · Answer

oops, i mean 2w^2-27= 3w-27... i guess something like that, this is all new to me.

nikato · Answer

|dw:1423444557121:dw|
you'll get this.
and do you know how to factor this?