The area of a square is 1156 cm2 . What is the respective ratio between the length and the breadth of a rectangle whose length is twice the side of the square and whose breadth is 14 cm less than the side of the square?
Answer & explanation
Correct answer: option 3
We have,
Area of a square = 1156 cm²
Area of Square = Side²
Length of rectangle = twice the side of the square
Breadth of rectangle = Side of square - 14 cm
Side of square = \(\sqrt {1156}\) = 34 cm
Now,
Length of rectangle = 2 × 34 = 68 cm
Breadth of rectangle = 34 - 14 = 20 cm
Ratio = 68 : 20 = 17 : 5