A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The value of x or the length of TU is 22.5.
<h3>What is a rectangle?</h3>
That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.
Since all the rectangles are similar, therefore, the corresponding sides of the rectangle will be in ratio. Therefore,
![\dfrac{\text{Length of STUV}}{\text{Length of MNOP}} = \dfrac{9}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BLength%20of%20STUV%7D%7D%7B%5Ctext%7BLength%20of%20MNOP%7D%7D%20%3D%20%5Cdfrac%7B9%7D%7B6%7D)
Similarly, the breadth will be,
![\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{\text{Length of STUV}}{\text{Length of MNOP}}\\\\\\\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{9}{6}\\\\\\\dfrac{x}{15}=\dfrac96\\\\\\x = \dfrac{9 \times 15}{6} = 22.5](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BWidth%20of%20STUV%7D%7D%7B%5Ctext%7BWidth%20of%20MNOP%7D%7D%20%3D%20%5Cdfrac%7B%5Ctext%7BLength%20of%20STUV%7D%7D%7B%5Ctext%7BLength%20of%20MNOP%7D%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B%5Ctext%7BWidth%20of%20STUV%7D%7D%7B%5Ctext%7BWidth%20of%20MNOP%7D%7D%20%3D%20%5Cdfrac%7B9%7D%7B6%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B15%7D%3D%5Cdfrac96%5C%5C%5C%5C%5C%5Cx%20%3D%20%5Cdfrac%7B9%20%5Ctimes%2015%7D%7B6%7D%20%3D%2022.5)
Hence, the value of x or the length of TU is 22.5.
Learn more about Rectangle:
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Answer:
108-36
Step-by-step explanation:
Uh, rude. The answer to this is that Rico should've moved the decimal to the right twice, not the left.