Question

pro - pix will develop a 3” x 5” picture and a 4” x 6” picture for the same price. how would you compare the areas of the 2 pictures? a. the 4” x 6” is 1 square inch larger. b. the 4” x 6” is 2 square inches larger. c. the 4” x 6” is 4 square inches larger. d. the 4” x 6” is 9 square inches larger.

Explanation:

Step1: Calculate area of 3"×5" picture

The area formula for a rectangle is $A = l\times w$. For a 3"×5" picture, $A_1=3\times5 = 15$ square - inches.

Step2: Calculate area of 4"×6" picture

Using the same formula, for a 4"×6" picture, $A_2 = 4\times6=24$ square - inches.

Step3: Find the difference in areas

$A_2 - A_1=24 - 15 = 9$ square - inches. So the 4"×6" picture is 9 square inches larger than the 3"×5" picture.

Answer:

D. The 4"×6" is 9 square inches larger.