Grades 3-4 Video Solutions 2024-2024_3-4

Video Transcription

Question 16. A floor is covered with two kinds of tiles, gray rectangles and black squares.  The size of the rectangles is 24 centimeters by 11 centimeters. The picture shows a part of the floor. How long is one side of the square tiles?  Let's start off by drawing a close-up. We have four gray tiles and one black tile in the middle.  Next, we can do away with two of these tiles. We know that the gray tiles are 23 by 11 centimeters,  so let's label these as such. We have 23 on this long side, 11 on this short side,  and naturally 11 on this other short side of the other tile.  Now we can do a simple math equation of 23 minus 11, which gives us 12. 12 centimeters is the length of the rest of the tile. If we divide that by 2, since it's equal on both sides,  we will get 6. So I have 6 centimeters on this side and 6 centimeters on the other side.  This means that this square is 6 centimeters by 6 centimeters, so the answer will be d, 6 centimeters.

Video Summary

The floor is tiled with gray rectangles measuring 24 cm by 11 cm and black squares. To find the side length of the square tiles, consider the placement of the tiles: two adjacent rectangle tiles measure 24 cm along one dimension and 11 cm along the other. By subtracting 11 cm from 23 cm (one side of the layout), we find the remaining length is 12 cm. Dividing 12 cm by 2 gives 6 cm for each square side. Thus, each square tile measures 6 cm by 6 cm. The answer is that one side of the square tile is 6 centimeters.

Keywords

tile dimensions

rectangle tiles

square tiles

side length

layout calculation