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.

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.

[tex]\frac{\text{Length of new rectangle}}{\text{Length of original rectangle}}=\frac{\text{Height of new rectangle}}{\text{Height of original rectangle}}[/tex]

Now let us substitute our given values in above proportion.

[tex]\frac{22.5}{15} =\frac{h}{8}[/tex]

Upon cross multiplying our equation we will get,

[tex]8\times 22.5 =15h[/tex]

[tex]180 =15h[/tex]

[tex]h=\frac{180}{15}[/tex]

[tex]h=12[/tex]

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