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there are 2 square office spaces. the length of a side of 1 space is 1 meter less than the length of a side of the other. the area of the larger space is 11 square meters greater than that of the smaller. find the dimensions of each space.

Sagot :

[tex] (a^{2}- b^{2})=(a+b)(a-b)[/tex]

It is obvious that a-b=1 therefore a+b=11 so a=6 and b=5

The dimensions of each space is 5 meters and 6 meters