Question

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

Answer 1

41 units is the length of a diagonal.

Explanation:

Length of the rectangle = l = 40 units

Width of the rectangle = b = 9 units

Measurement of diagonal = d

As we know rectangle has foe angles all equal to 90°.So, we can use Pythagoras theorem to calculate the measurement of the diagonal of the rectangle .

`l^2+b^2=d^2`

`(40 unit)^2+(9 unit)^2=d^2`

`1600 unit^2+81 unit^2=d^2`

`d=√(1600 unit^2+81 unit^2)=√(1681 unit^2)=41 unit`

41 units is the length of a diagonal.

Answer 2

imagine a right triangle with legs legnth 9 and 40, and hyptonuse is the diagonal legnth 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

the legnth of the diagonal is 41 units