Rectangular Piece

Question

(1 point) Suppose you are given a rectangular piece of cardboard having length 6x−7 inches and width 5x−6
inches. Then you cut out a square from this piece of cardboard having side length 3x inches. Find the area of the remaining piece of cardboard expressed in terms of x

Answer 1

The orginal area is

 

(6x - 7)(5x - 6) = 30x² - 71x + 42

 

 

Area of square that is cut out is (3x)(3x) = 9x².

 

 

To find the area of the remaining cardboard piece, subtract the area of the cut out square from the area of the original piece.