1.

If the diagonal of a square of perimeter 60 cm is equal to the length of a rectangle(R) and R's breadth is 10√2 cm, what is R's area? (in cm2)1). 150√2 2). 1503). None of these4). 300

Answer»

Given,

Perimeter of square = 60 cm

We KNOW that,

The perimeter of square = 4 × side

⇒ 60 = 4 × side

⇒ side = 15 cm

DIAGONAL of square = √2 × side

⇒ Diagonal of square = 15√2 = Lenght of rectangle

We know that, 

AREA of rectangle = LENGTH × Breadth

Area of rectangle = 15√2 × 10√2 = 300 cm2



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