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

Video Transcription

Question 13. Rosa draws several identical rectangles to make the following picture. The width and the height of the picture are 45 centimeters and 30 centimeters respectively.  What is the area of one rectangle?  The structure is 45 centimeters wide, and we can see that this corresponds to the length of the five rectangles along the bottom of the picture.  From that, we get that one rectangle has a width of 45 centimeters divided by 5, which is 9 centimeters. Next, we know that the height of the picture is 30 centimeters.  We can see that it consists of the length of two rectangles, which would add up to 18 centimeters, and the width of three rectangles.  The three widths must add up to the remaining 12 centimeters of the height that we get after we subtract the two lengths from the 30 centimeters.  This means that each of the rectangles is 12 divided by 3 centimeters wide, which evaluates to 4 centimeters.  The area of the rectangle will be the product of the length and the width. Multiplying 4 centimeters by 9 centimeters gives us 36 square centimeters.  Thank you for watching!

Video Summary

The area of one rectangle in Rosa's picture is 36 square centimeters. The picture is constructed from identical rectangles, with the overall width and height being 45 cm and 30 cm, respectively. The width of one rectangle is calculated as 9 cm, derived from dividing the total width by the number of rectangles (5). The height is determined as 4 cm, by distributing the remaining height after subtracting the lengths. By multiplying the width (9 cm) and the height (4 cm) of one rectangle, Rosa finds the area to be 36 square centimeters.

Keywords

rectangle

area

Rosa

dimensions

calculation