Question

A rectangular field is 300m by 400m .What distance is saved by walking
diagonally across the field?

Answer 1

Answer:

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Step-by-step explanation:

Given : ABCD is a rectangular field of Length = 40m, Breadth = 30m, ∠B=90  

o

 

In the right angled triangle ABC,

By Pythagoras Theorem,

AC  

2

=AB  

2

+BC  

2

 

=30  

2

+40  

2

=900+1600

=2500

∴AC=  

2500

​  

=50m

Distance from A to C through B is

=30+40=70m

Distance saved =70−50=20m.

Answer 2

Answer:

500 m

Step-by-step explanation:

Given

A rectangular field is 300m by 400m

so,

( diagonal )^2 = (300)^2+(400)^2

( diagonal )^2 = 90000+160000

( diagonal )^2 = 250000

diagonal = √250000

diagonal = 500 m