Lesson 7

Problem Solving with Volume

Est. Class Sessions: 2–3

Daily Practice and Problems

Teacher Notes
X

TIMS Task

  1. 1764 square centimeters
    42 × 42 = 1764 square centimeters
  2. 1470 square centimeters; Possible response: I found the area of the hole by multiplying 21 × 14 = 294 square centimeters. Then I subtracted the area of the hole from the area of the total square.
    1764 − 294 = 1470 square centimeters for the shaded area.

BB. Area

This large square has a side length of 42 centimeters. The hole inside of the square has a length of 21 centimeters and a width of 14 centimeters.

  1. Find the area of the large square. Show your work.
  2. Find the area of the shaded area of the square. Show or tell how you found the area.