HOW MUCH SHORTER IT IS TO WALK DIALGONALLY ACROSS A RECTANGULAR FIELD THAT IS 80M LONG AND 60M WIDE THAN LONG TWO OF ITS ADJACENT SIDES.

Answer:

As we know that all the four angles of the rectangle are equal to 90^{o}. Then the diagonal alongwith the two sides will form a right angle triangle.

By pythogoras theorom we know that:

Hypotenuse^{2}= Perpendicular^{2}+ Base^{2}.

So Hypotenuse =√Perpendicular^{2}+ Base^{2}= (Here hypotenuse = ? and Perpendicular = Breadth of the rectangular field = 60 M and Base = Length of the rectangular field = 80 M).

Hypotenuse =√(80)2 + (60)2

Hypotenuse =√6400 + 3600

Hypotenuse =√10000 = 100 M.

If we had to walk on the adjacent side of the rectangular field, then we travel a distance of (80 + 60) = 140 M, and if we walk on the diagonal of the rectangular field we will travel = 100 M.

So we will walk (140 - 100) = 40 Mtrs less.

**Ans: 40 Mtrs.**

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