Problem sloving

Question

Henry has a photograph in the shape of a rectangle. The dimensions of the photograph are; length = 12 inches width = x - 2 inches. Write an expression to represent the area of the photograph in terms of x. Use the distributive property to write an equivalent expression for the area. Find the area when x = 6.

Answer 1

Area of a Rectangle

Formula

Area = Length * Width

Area = 12 in  *  (x - 2) in

Area = 12(x – 2) in^2 (square inches)

Expression to represent the area

12(x – 2) in^2

Equivalent expression using the distributive property

12x - 24 in^2

Area when x = 6

12(6) – 24

72 - 24

48 in^2

Answer 2