Question

Length of a diagonal of a rectangle is 10 cm. Its length is 4/3 times its breadth. Find the area of the square whose perimeter is equal to this rectangle.

Answer 1

Answer:

Area of Square = 49cm²

Step-by-step explanation:

Let the breadth be x cm,

and the length be 4x/3 cm.

So, x²+(16x²/9) = 10²

=> 25x²/9 = 10²

=> (5x/3)² = 10²

=> 5x/3 = 10

=> x = 6cm

Breadth = 6cm

Length = 8cm

Perimeter = 28cm

Side of Square = 7cm

Area of Square = 49cm²

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