-
The perimeter of two squares are 24 cm and 32 cm. The perimeter (in cm) of a third square equal in area to the sum of the areas of these squares is :
-
- 45
- 40
- 32
- 48
- 45
Correct Option: B
Side of square, whose perimeter is 24 cm = 24/4 = 6 cm
So, Area of the square = 62 = 36 cm²
Again, side of square, whose perimeter is 32cm
= 32/4 = 8 cm
So, Area of this square = 82 = 64 cm²
According to the question Area of new square = 64 + 36 = 100cm²
∴ Side of the new square = 100 = 10 cm
Hence, Perimeter of new square = 10 × 4 = 40 cm
