# Answer on Real Analysis Question for Zoe

Question #17598

A store advertises a circular Rug as being 4.9m2. Travis wants a rug to fit a rectangular space that is 2.6m by 2.6m. Will the rug fit?

Expert's answer

Diameter of a rug is

D = 2√(4.9[m²]/π) ≈ 2.498.

The diagonal length of the rectangular space that is 2.6m by 2.6m is

L = √((2.6[m])² + (2.6[m])²) ≈ 3.677

We see that

D<L,

therefore the rug won't fit.

D = 2√(4.9[m²]/π) ≈ 2.498.

The diagonal length of the rectangular space that is 2.6m by 2.6m is

L = √((2.6[m])² + (2.6[m])²) ≈ 3.677

We see that

D<L,

therefore the rug won't fit.

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