Question 75
The area of a rectangle is 180 cm$$^2$$ If the ratio of length and breadth of the rectangle is 5 : 4, then what is the length (in cm)of diagonal of the rectangle?
Solution
ratio of length and breadth of the rectangle is 5x : 4x
The area of a rectangle is 180 cm$$^2$$
area of the rectangle = $$ 5x \times 4x = 20x^2 $$
Solving x = 3
length = 15
breadth = 12
$$(diagonal)^2 =Â 15^2 + 12^2 $$
   diagonal = $$ \sqrt {369} $$
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