Question

Susan enlarged a rectangle with a height of 3 cm and length of 10 cm on her computer. The length of the new rectangle is 15 cm. Find the height of the new rectangle.

Answer 1

Answer:

4.5 cm

Step-by-step explanation:

We have been given that Susan enlarged a rectangle with a height of 3 cm and length of 10 cm on her computer. The length of the new rectangle is 15 cm. We are asked to find the height of the new rectangle.

We will use proportions to solve our given problem.

$\frac{\text{Height of new rectangle}}{\text{Length of new rectangle}}=\frac{\text{Height of original rectangle}}{\text{Length of original rectangle}}$

$\frac{\text{Height of new rectangle}}{15}=\frac{3}{10}$

$\frac{\text{Height of new rectangle}}{15}\times 15=\frac{3}{10}\times 15$

$\text{Height of new rectangle}=\frac{3}{2}\times 3$

$\text{Height of new rectangle}=\frac{9}{2}$

$\text{Height of new rectangle}=4.5$

Therefore, the height of the new rectangle is 4.5 cm.