Practicing Success
The diagonal of a rectangle is 17 cm long and its perimeter is 46 cm. The area of the rectangle is: |
120 cm2 125 cm2 115 cm2 130 cm2 |
120 cm2 |
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 |