Question

The length of a rectangle is 5 units and its width is 4 units. what is the approximate length of the diagonal of the rectangle? 5 units 6.4 units 8.5 units 9 units

Answer 1

approx length of diagonal 6.4 units

Answer 2

6.4 units (Approximate)

Step-by-step explanation:

The length of the rectangle is given by 5 units and its width is given as 4 units.

Now, a rectangle has every internal angle equal to 90°.

Therefore, any to adjacent sides and one diagonal will form a right triangle.

So, in this right triangle applying the Pythagoras Theorem,

(Diagonal)² = (Length)² + (Width)²

⇒ (Diagonal)² = 5² + 4² = 25 + 16 = 41

⇒ Diagonal = √(41) = 6.4 units (Approximate) (Answer)