Question

JAYANTI TAKES SHORTEST ROUTE TO HER HOME BY WALKING DIAGONALLY ACROSS A RECTANGULAR PARK.THE PARK MEASURES 60 M MULTIPLIED BY 80 M .HOW MUCH SHORTER IS THE ROUTE ACROSS THE PARK THAN THE ROUTE AROUND ITS EDGES

Answer 1

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Answer 2

Answer: The shortest route across the park is 100 m.

Step-by-step explanation:

Since we have given that

Length of rectangular park = 60 m

Width of rectangular park = 80 m

Since Jayanti takes shortest route by walking diagonally across the park.

(As we know that Diagonal forms the hypotenuse of the right angle triangle in rectangle.)

So, Diagonal of rectangular park is given by

$\sqrt{Length^2+Width^2}\\\\=\sqrt{60^2+80^2}\\\\=\sqrt{3600+6400}\\\\=\sqrt{10000}\\\\=100\ m$

Hence, the shortest route across the park is 100 m.