Grades 7-8 Video Solutions 2022-2022_7-8

Video Transcription

and identical rectangles. What is the ratio AB to BC? Take a closer look at our figure. This rectangle is made up of rectangles that are all identical.  Let's name one of the side lengths X and the other side length Y. Now we can label segment AB as 4X, and we can label DC as 3Y. And finally, we can label BC as X plus  Y. With this, we know that 4X is equal to 3Y. If we divide this out, we get X equal to 0.75Y. When we look at the ratio of AB to BC, we have 4X over X plus Y, which can  be simplified by putting 0.75Y as X. When we simplify this, we get 3Y divided by 1.75Y. When we multiply this by 4, we can get 12Y divided by 7Y. And we see that the ratio of  AB to BC is answer D, 12 over 7.

Video Summary

and identical rectangles. What is the ratio AB to BC? Take a closer look at our figure. This rectangle is made up of rectangles that are all identical. Let's name one of the side lengths X and the other side length Y. Now we can label segment AB as 4X, and we can label DC as 3Y. And finally, we can label BC as X plus Y. With this, we know that 4X is equal to 3Y. If we divide this out, we get X equal to 0.75Y. When we look at the ratio of AB to BC, we have 4X over X plus Y, which can be simplified by putting 0.75Y as X. When we simplify this, we get 3Y divided by 1.75Y. When we multiply this by 4, we can get 12Y divided by 7Y. And we see that the ratio of AB to BC is answer D, 12 over 7.

Keywords

rectangle

ratio

identical

side lengths

simplification