Susan enlarged a rectangle with a height of 8 cm and length of 15 cm on her computer. the length of the new rectangle is 22.5 cm. find the height of the new rectangle.

12 cm.

Step-by-step explanation:

Let h be height of new rectangle.

We have been given that Susan enlarged a rectangle with a height of 8 cm and length of 15 cm on her computer. The length of the new rectangle is 22.5 cm.

Since we know that corresponding sides of  similar figures are always proportional, therefore, to solve for height of new rectangle we will use proportions.

Now let us substitute our given values in above proportion.

Upon cross multiplying our equation we will get,  

Therefore, the height of the new rectangle is 12 cm.