Question

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

Answer 1

Diagonal = 41 units

Explanation:

It is given that,a rectangle has a width of 9 units and a length of 40 units.

To find the diagonal of rectangle

We know that rectangle can be considered as combination of two right triangles.

Here length of right triangle = 40 units and height = 9 units

Hypotenuse = diagonal of rectangle.

Hypotenuse² = Length² + height

= 40² + 9²

= 1600 + 81

= 1681

Hypotenuse = √1681 = 41

Therefore diagonal of rectangle = 41 units

Answer 2

41 units

Explanation:

In this question, you should remember that the diagonal drawn will represent the longest side of the triangle that will be formed .This is to say the triangle will have the two shorter sides (the length and width) and the longest side (diagonal).

Apply the Pythagorean relationship where

• The width will be the shortest side a
• The length will be the other side b
• The diagonal will be the hypotenuse c

The formula to apply here will be

`a^2+b^2=c^2\\\\\\a=9,b=40,c=?\\\\\\9^2+40^2=c^2\\\\\\81+1600=c^2\\\\\\c^2=1681\\\\\\c=√(1681) =41units`