Question

Susan enlarged a rectangle with a height of 6 cm and length of 13 cm on her computer. The length of the new rectangle is 19.5 cm. Find the height of the new rectangle.

Answer 1

On enlarging the rectangle, the proportion or ratio of Length to Height will stay the same.

The ratio of original length to height is 13 : 6 
The ratio in enlarged rectangle will stay the same. Let the height of enlarged rectangle is y cm. So we can write:

$13:6=19.5:x \\ \\ \frac{13}{6} = \frac{19.5}{x} \\ \\ x=19.5* \frac{6}{13}=9$

Therefore, the height in enlarged rectangle will be 9 cm