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?

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?

kkutie7 · Answer

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
$$\frac{3}{4}(L*W)=\frac{3}{4}(A)$$

kkutie7 · Answer

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

anonymous · Answer

Thank you!! :)