PLEASE HELP (Algebra 1)

Question

A box is made by cutting squares out of each corner of a 36 in by 48 in piece of cardboard and folding up the sides. What is the length, x, of each side of each square that should be cut if the area of the bottom of the box needs to be 1120 in²

Answer 1

Hello for this we are going to set up an equation where our final area equals 1120 we know that since we are cutting our squares from the corners of the box the amount we take away from our 48-inch side is the same as what we take away from our 36-inch side. and since there are two corners that touch each side length we need to account for that so our equation will be (48-2x)(36-2x)=1120 where the x is the side length of the square we are cutting out. can get 4x^2-168x+608=0 using the quadratic formula we can get x=4