the dimensions of a rectangular playground are 50 times the dimensions of a scale drawing of the playground. the area of the sca
1 answer:
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Answer:
Mike is not right
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z----> the scale factor
x----> surface area of the enlarged rectangular prism
y-----> surface area of the original rectangular prism
so
In this problem we have
substitute
so
The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism
therefore
Mike is not right
<em>Verify with an example</em>
we have a rectangular prism
The surface area of the prism is equal to
substitute the values
If he doubles each dimension of any rectangular prism
then
the new dimensions will be
The new surface area will be
therefore
The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism
It would be .....
Hope this helps
Have a happy holidays:)
Hope this helps
Have a happy holidays:)