Answer:
Step-by-step explanation:
A rectangle is a 2D figure with opposite sides equal in length and the corners are right triangles
For a rectangle of length 15 yards and width 8 yards the distance walked along length and width is 15 + 8 = 23 yards
The diagonal D of a rectangle can be computed by the Pythagorean formula:
[tex]D = \sqrt{L^2 + W^2}[/tex]
where L is the length and W the width
For this specific rectangle,
[tex]D = \sqrt{15^2 + 8^2}\\\\=\sqrt{225 + 64}\\\\= \sqrt{289}\\\\= 17[/tex]
So, if you walk along the diagonal you will only have to traverse 17 yards as compared to 23 yards
The distance along the diagonal
= 23 - 17
= 6 yards
