Ok if I have a rectangle MNOP ~ rectangle STUV. what is the length of TU with a line over TU?
First rectangle is MNOP with 10 on one side and 4 on anotherside.
Second rectangle is STUV. With one side marked X for unknown #. And one side says # 6.
Would x = 10? Or if not can you explain?
10/6 = 4/X
10x = 24
X = 2.4
To find the length of TU in the rectangle STUV, which is similar to the rectangle MNOP, you can use the property of similar figures. In similar figures, corresponding sides are proportional.
Given:
Rectangle MNOP has sides measuring 10 and 4.
Rectangle STUV has one side marked as X (unknown) and another side measuring 6.
Since the rectangles are similar, we can set up the following proportion:
\( \frac{MN}{ST} = \frac{OP}{UV} \)
Substituting the given values:
\( \frac{10}{6} = \frac{4}{X} \)
Now, we can solve for X by cross-multiplying:
\( 10X = 6 \times 4 \)
\( 10X = 24 \)
Dividing both sides by 10, we find:
\( X = \frac{24}{10} \)
\( X = 2.4 \)
Therefore, the length of TU with a line over it is 2.4 units.