Question

length and breadth of a rectangle are 24cm and 18cm find tge length of its diagonal (1) 18cm (2) 24cm (3) 30cm (4) 15cm​

Answer 1

Given,

The length of the rectangle = 24 cm

The breadth of the rectangle = 18 cm

To find,

The length of the diagonal of the given rectangle.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Let, the length of the diagonal = x cm

According to the data mentioned in the question,

(x)² = (24)²+(18)² [Pythagoras theorem]

x² = 576+324

x² = 900

x = 30

Hence, the Length of the diagonal is 30 cm (option 3).

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Length and breadth of a rectangle are 24cm and 18cm find the length of its diagonal

(1) 18cm

(2) 24cm

(3) 30cm

(4) 15cm

FORMULA TO BE IMPLEMENTED

If L unit the length and B unit be the breadth of the rectangle then the length of the diagonal

$\sf{ = \sqrt{ {L}^{2} + {B}^{2} } \: \: \: \: unit}$

EVALUATION

Here it is given that Length and breadth of a rectangle are 24cm and 18cm

So the length of the diagonal

$\sf{ = \sqrt{ {(24)}^{2} + {(18)}^{2} } \: \: \: cm }$

$\sf{ = \sqrt{576+ 324 } \: \: \: cm }$

$\sf{ = \sqrt{900 } \: \: \: cm }$

$\sf{ = 30 \: \: \: cm }$

FINAL ANSWER

The correct option is (3) 30cm

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