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?
Answer & explanation
Correct answer: option 3
We have,
Area of rectangle = 180 cm2.
Ratio of Length and Breadth of the rectangle = 5 : 6.
Let, Length = 5x
Breadth = 4x
According to question,
5x × 4x = 180
= 20x2 = 180
= x2 = 9
= x = 3
Length = 5 × 3 = 15cm
Breadth = 4 × 3 = 12cm
= The diagonal of rectangle =\(\sqrt {(15^2 + 12^2) }\) = \(\sqrt {369}\)