If the length of the top of the rectangle is 15 inches more than its width and the area is 1350 square inches. Find the dimensions of the table.

Question

Please do help me with this proble

Answer 1

w=width

w+15=length

w(w+15)=1350

w^2+15w-1350=0

1350=2*3*3*3*5*5=(2*3*5)*(3*3*5)=30*45

(w+45)(w-30)=0

w-30=0

w=30

w+15=45

30 in by 45 in

I used algebra but as you can see it only amounts to factoring 1350 and grouping the factors the right way.