The length of a rectangle is twice the width and diagonal is 25cm work out the area of the rectangle?

Answer 1

Let length be 2x and the width be x and use Pythagoras' theorem:

2x2+x2 = 252

3x2 = 625

Divide both sides by 3 and then square root both sides:

x = 14.43375673 cm

2x = 28.86751346 cm

Area = 2x*x = 416 and 2/3 square cm

Answer 2

Well, isn't that just a happy little problem we have here? To find the area of the rectangle, we first need to use the Pythagorean theorem to find the length and width. Since the length is twice the width, we can set up the equation x^2 + (2x)^2 = 25^2. Solving this will give us the width and length, and then we can multiply them to find the area. Happy calculating!