If the ratio of the two rectangles remains 4 to 5, is it possible for the area of the smaller rectangle to be 8 square feet and the area of the larger rectangle to be 15 square feet? Explain why or why not.

Question

gokuporter · Answer

@Directrix

welshfella · Answer

if the ratio of corresponding sides is 4:5 then the ratio of their areas is 4^2 : 5^2  
- that is 16:25

welshfella · Answer

so if the area of smaller one is 8 we have 

8/x = 16/25     where x is the area of the larger rectangle

welshfella · Answer

if you solve that for x you'll se that its not 15

welshfella · Answer

did you follow that process?

gokuporter · Answer

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