Question

Susan enlarged a rectangle with a height of 5 cm and a length of 12 on her computer. the length of the new rectangle is 18 cm. find the height of the new rectangle.

the height of the new rectangle is______cm

Answer 1

Answer:

$\huge\boxed{7.5 \ \text{cm}}$

Step-by-step explanation:

When we scale a rectangle, we multiply both the length and the width by the scale factor - or a constant value.

We can use a proportion to see how much to multiply by, where we have $\frac{\text{height}}{\text{length}}$.

$\frac{5}{12} = \frac{x}{18}$

To solve for this proportion, we can cross multiply to find the value of x.

$18 \cdot 5 = 90\\\\90 \div 12 = 7.5$

Therefore the height of the new rectangle is 7.5 cm.

Hope this helped!