Answer:
The length of the diagonal is 41
Step-by-step explanation:
The width, the length and th diagonal of a rectangle form a triangle rectangle and we can apply the theorem of pythagoras as:
[tex]c^{2} =a^{2} +b^{2}[/tex]
Where c is the length of the diagonal, a is the length of the rectangle and b is the width of the rectangle. Replacing values and solve for c, we get:
[tex]c^{2} =40^{2} +9^{2}[/tex]
[tex]c^{2} =1600+81[/tex]
[tex]c^{2} =1681[/tex]
[tex]c=\sqrt{1681}[/tex]
c=41
So, The length of the diagonal is 41.
