Q8 of 97 Page 786

The length of the diagonal of a square is 10√2 cm. Its area is

Given:

Length of diagonal = 10√2 cm

Let the side of square = x cm

We know that,

Hypotenuse² = Base² + Perpendicular²

⇒ (10√2)² = x² + x²

⇒ 200 = 2x²

⇒ x² = 100

⇒ x = 10 cm

Now,

Area of a square = side²

= (10 cm)²

= 100 cm²

On increasing the length of a rectangle by 20% and decreasing its breadth by 20%, what is the change in its area?

A rectangular ground 80 m x 50 m has a path 1 m wide outside around it. The area of the path is

The area of a square field is 6050 m². The length of its diagonal is

The area of a square field is 0.5 hectare. The length of its diagonal is