Question

A man walked 20m to cross a rectangular field diagonally if the length of the field is 16cm then the breadth of the field is

Answer 1

Let a rectangular field ABCD
A/Q a man cross rectangular field diagonally and he had to walk 20m
So,Diagonal of Rectangle =20m
Length=16m (given)
We know that Each angle of a rectangle is 90°
ADC forms a right angled triangle
AC=16m(perpendicular)
AD=20m(Hypotenus)
CD=?(base)
According to Pythagorean Theorem
h2=b2+p2
(20)2=b2+(16)2
400=b2+256
b2=144
b=√144
b=12m
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Answer 2

Hi ,

Dimensions of the rectangle ,

Length = l cm = 16cm

Diagonal = d cm = 20 cm

Breadth = b cm


b² = d² - l²

= ( 20 )² - ( 16 )²

= 400 - 256

= 144

b² = 144

b = √144

b = 12 cm

Therefore ,

Breadth of the rectangle = b = 12cm

I hope this helps you.

:)