The diagonal of a rectangle is 17 cm long and its perimeter is 46 cm.…

We know that,

Diagonal² = Length² + Breadth²

Perimeter of Rectangle = 2(l + b)

Area of Rectangle = l × b

We have given,

Diagonal of rectangle = 17 cm

Perimeter of rectangle = 46 cm

= l² + b² = 17² = 289

= 2(l + b) = 46

= l + b = 23

Squaring both sides,

= l² + b² + 2lb = 23²

Putting the values,

= 289 + 2lb = 529

= 2lb = 529 – 289 = 240

= lb = 120 cm²