1.

The perimeter of two square are 12 cm and 16 cm. Find the perimeter of the third square whose area is equal to the sum of the area of the two squares.1. 24 cm2. 20 cm3. 28 cm4. 16 cm

Answer» Correct Answer - Option 2 : 20 cm

Given:

The perimeter of two square is 12 cm and 16 cm

Formula used:

The perimeter of square = 4 × (side)

Area of the square = (Side)2

Calculations:

The perimeter of square = 4 × (side) 

Side of first square = 12/4 = 3 cm

Side of second square = 16/4 = 4 cm

Area of the 3rd square = (32 + 42)

⇒ (9 + 16) = 25 cm2

Side of third square = √25 = 5 cm

Perimeter of 3rd square = 4 × 5 = 20 cm

∴ Required perimeter of the third square is 20 cm



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