Final answer:
To find the length of side SW in rectangle RSTW, we need to determine the length of side SR, which can be done by setting up equations based on the given information. Once we find the length of SR, we can determine the length of SW by adding 8 units to SR.
Step-by-step explanation:
In rectangle RSTW, the length of top side RW is 7 more than the length of side SR, and the length of side RT is 8 more than the length of side SR. To find the length of side SW, we first need to determine the length of SR. Let's assume the length of SR is x. Then, the length of RW would be x + 7 and the length of RT would be x + 8. Since RSTW is a rectangle, opposite sides have equal lengths. Therefore, SR is equal to TW and RT is equal to SW. So, we have SR = TW = x, and RT = SW = x + 8. Therefore, the length of side SW is x + 8.