Question

A rectangle has a width of 9 units and a length of 40 units. what is the length of the diagonal

Answer 1

I think the length of the diagonal would be 41. :D

Answer 2

The length of the diagonal is 41

Explanation:

The width, the length and th diagonal of a rectangle form a triangle rectangle and we can apply the theorem of pythagoras as:

`c^(2) =a^(2) +b^(2)`

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:

`c^(2) =40^(2) +9^(2)`

`c^(2) =1600+81`

`c^(2) =1681`

`c=√(1681)`

c=41

So, The length of the diagonal is 41.