A rectangular tablecloth has an area of 1085 in.^2. When it is draped over a square table, it hangs 5 in. over two opposite sides and 3 in. over the other two sides. Find the dimensions of the table.

Question

Niko Salazar

Mathematics

30 December, 08:51

A rectangular tablecloth has an area of 1085 in.^2. When it is draped over a square table, it hangs 5 in. over two opposite sides and 3 in. over the other two sides. Find the dimensions of the table.

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Answers (1)

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Rogelio Mcconnell · Answer 1

1085 = (x+2*5) (x+2*3)

(x+10) (x+6) = 1085

x^2+16x+60=1085

x^2+16x-1025=0

x^2+41x-25x-1025=0

x (x+41) - 25 (x+41) = 0

(x-25) (x+41) = 0, since x>0, x=25 is the only reasonable solution.

The table is a 25" square.