Question

A rectangle has length 12 feet and width 8 feet. Every dimension of the rectangle is multiplied by 3 over 4 to form a similar rectangle. How is the ratio of the areas related to the ratio of corresponding sides?

Answer 1

3 over 4 like this
\[\frac{3}{4}\]
well you can just look at the equation for the area of a rectangle.
\[A=L*W\]
it tells you that the dimensions are being multiplied by the fraction so
\[A=\frac{3}{4}L*\frac{3}{4}W\]
you can factor out the fraction
\[A=\frac{3}{4}(L*W)\]
so when the dimensions are multiplied by something so is the area
\[\frac{3}{4}(L*W)=\frac{3}{4}(A)\]

Answer 2

The last thing there isn't "solved" its just a way to think about it

Answer 3

Thank you!! :)