Question

find the length of diagonal of the rectangle whose length and breadth are 12m and 5m respectively

Answer 1

Length = 12 m

Width = 5 m

Diagonal of rectangle = sqrt ( Length^2 + Width^2)

= sqrt ( 12^2 + 5^2)

= sqrt ( 144 + 25)

= sqrt ( 169)

= 13 m

Diagonal = 13 m

Answer 2

Given : Riya was drawing a rectangle on her worksheet,  

a rectangle having length 12m and breadth 5m

To Find : length of diagonal of the  rectangle

Solution:

All the angles of rectangle are 90°

Hence two adjacent sides and Diagonal form a right angle triangle

Using Pythagorean Theorem

Diagonal²  = 12² + 5²

=> Diagonal²  = 144 + 25

=> Diagonal²  = 169

=> Diagonal = ± 13

As Length can not be negative

Hence Diagonal length = 13 m

length of diagonal of the  rectangle  is 13 m

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