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anastassius [24]
3 years ago
12

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

Mathematics
2 answers:
Natali [406]3 years ago
5 0

Answer:

Length of a diagonal = 41 units

Step-by-step explanation:

Given : A rectangle has a width of 9 units and a length of 40 units.

To Find : the length of a diagonal

Solution :

Since all angles of rectangle measures 90°.

So, to find length of diagonal use Pythagoras theorem i.e.


(Hypotenuse)^{2}=(Perpendicular )^{2}  + (Base)^{2}


Refer attached figure

Since ΔADC is right angled triangle


So, (AC)^{2}=(AD )^{2}  + (DC)^{2}


Where AC is the diagonal

AD = Length = 40 units

DC= Width = 9 units


Thus, (AC)^{2}=(40 )^{2}  + (9)^{2}


(AC)^{2}=1681


AC=\sqrt{1681}


AC=41


Hence, Length of a diagonal = 41 units

DedPeter [7]3 years ago
3 0
Pythagoras tells us that the diagonal is √(9²+40²) = 41.
Answer C.
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