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

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

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}}`.

`(5)/(12) = (x)/(18)`

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

`18 \cdot 5 = 90\\\\90 / 12 = 7.5`

Therefore the height of the new rectangle is 7.5 cm.

Hope this helped!