Question

A park is in the shape of a rectangle 119m long and 120m wife. How much shorter is your walk if you walk diagonally across the park than along the two sides of it?

Answer 1

Distance they have to walk along the two sides = 119 + 120 = 239 m

Distance they have to walk along the diagonal = √(119² + 120²)

= √(14161 + 14400) = √28561 = 169 m

Difference = 239 - 169 = 70 m

ie, They have to walk 70 m shorter if they walk diagonally across the park than along the two sides of it

Answer 2

Answer :-

70 m

Given :-

l = 119 m

b = 120 m

To find :-

How much shorter is your walk if you walk diagonally across the park than along two sides of it.

Solution :-

If we walk along the two sides of rectangle .

The distance covered will be :-

→$S = l + b$

→$S = 119 + 120$

→$S = 239 m$

Now, If we walk diagonally then the distance covered will be :-

→$S" = \sqrt{l^2 + b^2}$

→$S" = \sqrt{(119)^2+(120)^2}$

→$S" = \sqrt{14,161+14,400}$

→$S" = \sqrt{28,561}$

→$S" = 169m$

The distance we have to walk more is :-

→ S - S "

→ 239 - 169

→ 70 m

hence,

We have to walk 70 m more if we walk along its side than when we walk diagonally.