Question

35. The length and breadth of a rectangle
are 16 cm and 12 cm. Find the length of its
diagonal.
​

Answer 1

Answer:

20 cm

Step-by-step explanation:

Perimemeter = 2(length + breadth)

=2( 16 +12) cm

=56 cm

Area = length × breadth

= 16 × 12 cm^2 =192 cm^2

length of the diagonal = 20 cm

Answer 2

Solution

Given :-

• Length of rectangle = 16 cm
• Breadth of rectangle = 12 cm

Find :-

• Diagonal of rectangle

Explanation

Let,

ABCD be a rectangle ,

Where ,

• AB = CD = 16 cm
• BC = DA = 12 cm

Let, BD be a diagonal of rectangle ABCD.

Then, we take a ∆BCD,

According to Pythagoras Theorem ,

➡ BD² = BC² + CD²

➡ BD² = 16² + 12²

➡BD² = 256 + 144

➡BD² = 400

➡BD = √400

➡BD = 20 cm

Hence

• Diagonal of rectangle be = 20 cm

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