Question

Shyam takes shortest route to his home by walking diagonally across a rectangular park. The park measures 60 metres × 80 metres. How much shorter is the route across the park than the route around its edges?

Answer 1

Answer:

100m

Step-by-step explanation:

The park measures 60m and 80m.

Shyam passes diagonally(since it is shortest)

If you take 1 side, of the rectangle ( when divided into half by diagonal), you find it will be a right angled triangle.

The sides are 80 and 60 and the way shyam pass will be the hypotenuse (refer the attachment below).

Let the length of diagonal be 'x'

then,

x² = 80² + 60²

x² = 6400 + 3600

x² = 10000

x= 100m.

Answer 2

Answer:

the digonal route is shorter by 40m