Question

The length of a rectangle is three times its width and the length of its diagonal is 6√10 cm.
What is the perimeter of the rectangle?​

Answer 1

Answer:

36cm

Step-by-step explanation:

If width is x,

Perimeter at first would be 2(2x + x) = 6x

Using Pythagoras Theorem,

x² + (3x)² = (6√10)²

x² + 9x² = 360

10x² = 360

x² = 36

x = 6

∴ The perimeter would be 6(6) = 36cm