The length of rectangle is 1 meter less than it's width . the area of the rectangle is 42 square meters. find the dimensions of the rectangle.

We can turn this word problem into equations! So let l be length and w be width. So we can write, l+1=w. And l*w=42. we can plug the first equation in... l(l+1)=42 which is l^2+l=42. We can see that l=6. So w=7.