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Given that rectangle MNOP ~ rectangle STUV, what is the length of TU

Given that rectangle MNOP ~ rectangle STUV, what is the length of TU-example-1

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Knowing that similar polygons have sides in proportion we can set up a scale factor between the small rectangle and large rectangle. This is basically a ratio of one side of the small rectangle and the corresponding side of the larger rectangle.

scale factor: 4/6 = 2/3
Therefore all sides on the smaller rectangle and all corresponding sides on the larger rectangle are in the proportion 2/3.

We can apply this formula to find TU.

2/3 = 10/TU
Cross multiply as always
2TU=30
TU = 15
User Shadowxvii
by
7.4k points
5 votes

Answer:

15 units

Explanation:

It is given that the rectangle MNOP is similar to rectangle STUV, therefore applying the proportionality theorem, we get


(NO)/(TU)=(OP)/(UV)


(10)/(x)=(4)/(6)


x=\frac{10{*}6}{4}


x=(60)/(4)


x=15

Thus, the length of TU will be 15 units.

User MrRoman
by
8.8k points

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