Grades 5-6 Video Solutions 2024-2024_5-6

Video Transcription

Question 11. Two identical rectangles, each with an area of 18, overlap to form a new rectangle as shown. The new rectangle can be divided into three identical squares. What  is the area of the new rectangle? Notice how one of the original rectangles is the same size as two of the squares in the new shape. This means each square has half the area of  the original rectangle. Dividing 18 by 2 gives us that each square has an area of 9. Since there are three squares in the new rectangle, we can multiply the area of one square, 9,  by 3 to get 27, which is the area of the new rectangle.

Video Summary

The problem involves two identical rectangles, each with an area of 18, overlapping to form a new rectangle made up of three identical squares. By observing that one of the original rectangles matches the size of two squares, we see each square has half the area of the original rectangle. Dividing 18 by 2 results in each square having an area of 9. With three squares in the new rectangle, the total area is calculated by multiplying 9 (the area of one square) by 3, yielding an area of 27 for the new rectangle.

Keywords

rectangles

overlapping

squares

area

geometry