Answer:Area is 50 cm^2
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the area of a rectangle is expressed as
Area = LW
The length of a rectangle Is twice the width of the rectangle. This means that
L = 2W
The length of a diagonal of the rectangle is 25cm. This is the hypotenuse of the right angle triangle that is formed. Applying Pythagoras theorem,
25^2 = L^2 + W^2 - - - - - - - 1
Substituting L = 2W into equation 1, it becomes
25^2 = (2W)^2 + W^2
25^2 = 4W^2 + W^2 = 5W^2
Taking square of both sides,
W = √25 = 5
L = 2W = 3×5 = 10
Area = LW = 10×5 = 50 cm^2
