Question

Cruz's Frame Shop makes a mat by removing out the inside of a rectangular mat board. Use the measurements from the diagram to find the area of the mat for the frame. (area of the shaded region). Do not use units

Answer 1

2x -16

Explanation:

The area of each rectangle is the product of its length and width. The shaded area is the difference between the areas of the outside rectangle and the inside rectangle.

shaded area = (2x -1)(x +6) -(2x +5)(x +2)

= (2x^2 +11x -6) -(2x^2 +9x +10)

= (2 -2)x^2 +(11 -9)x +(-6 -10)

= 2x -16 . . . . . area of the shaded region