Question

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

Answer 1

Answer:

Breadth = 12m

Step-by-step explanation:

As rectangle possesses dimensions that are mutually perpendicular, thus length and breadth would be perpendicular(forming an angle of 90°). Now as the person has walked diagonally through that rectangular field; thus diagonal is a line that joins the left of length to the top of breadth(if imaginable) or simply two vertices that are in in cross. Thus diagonal can be regarded as the hypotenuse of the right triangle(as length and breadth form a right angle i.e. 90°);

So by Pythagorean identity:

Hypotenuse² = Base² + Perpendicular²

Thus ; for this case:

Diagonal² = length² + breadth²

Now; as per given values:

20² = 16² + breadth²

Thus:

Breadth = √400-256

Breadth = 12m