Arectangle has an area of 20 square feet a similar rectangle has an area of 180 square feet what is ratio of the areas of these similar rectangles

The ratio of the areas of the smaller rectangle to the larger rectangle is  

Step-by-step explanation:

we know that

if two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the smaller rectangle

y----> the area of the larger rectangle

so

substitute the values

simplify

That means, the area of the larger rectangle is 9 times the area of the smaller rectangle

------> the scale factor

That means, the dimensions of the larger rectangle is 3 times the dimensions of the smaller rectangle

49%

step-by-step explanation:

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9987

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