Question

A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal? 31 units 39 units 41 units 49 units

Answer 1

Answer: 41 units

Step-by-step explanation: took the quiz

Answer 2

The length of the diagonal is 41 units.

To find the length of a diagonal.

What is rectangle?

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.

Let a right triangle with legs length 9 units and 40 units and hypotenuse is the diagonal length c.

$a^{2} +b^{2} =c^{2}$

$9^{2} +40^{2} =c^{2}$

$81+1600=c^2\\1681=c^2$

sqrt both sides

41=c

So, the length of the diagonal is 41 units.

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