Mathematics

Question

The length of a rectangle Is twice the width of the rectangle the length of a diagonal of the rectangle is 25cm work out the ares of the rectangle give your answer as an integer

2 Answer

  • Answer:5

    Step-by-step explanation:

  • 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