Question: Given the rectangle MNOP and rectangle STUV, what is the length of TU? The rectangles are similar and NO's length is 10, but TU?

I am NOT asking for direct answers, just how to do it.

its 15

thats it

To find the length of TU, we can use the concept of similarity between the rectangles MNOP and STUV. Rectangles are similar when their corresponding angles are equal, and the ratio of the lengths of their corresponding sides is the same.

Given that the length of NO is 10, we can use this information to find the ratio between the corresponding sides of the two rectangles.

1. Identify the corresponding sides of the rectangles:
- Corresponding sides for rectangle MNOP: NO (10) and OP (unknown length)
- Corresponding sides for rectangle STUV: TU (unknown length) and UV (unknown length)

2. Set up a proportion by equating the ratios of corresponding sides:
- (Length of NO) / (Length of OP) = (Length of TU) / (Length of UV)

3. Substitute the given values into the proportion:
- 10 / OP = TU / UV

4. Solve for the unknown, TU:
- Cross-multiply and solve for TU:
10 * UV = OP * TU
TU = (10 * UV) / OP

Therefore, to find the length of TU, you need to know the lengths of UV and OP. Once you have those measurements, substitute them into the equation TU = (10 * UV) / OP to obtain the value of TU.

you dont have enough info...but it might be this same problem we solved in 2013

https://www.jiskha.com/display.cgi?id=1366216390

Connexus? Wow.