The ratio of two sides of a rectangle are in the ratio 4 : 7. If its perimeter is 154 cm, then find length of its diagonal.
Answer & explanation
Correct answer: option 3
Ratio of length to breadth = 4 : 7
l + b = 11x
ATQ,
Perimeter = 2(l+b) = 154
⇒ 22x = 154
x = 7
Sides of rectangle = 4 × 7 and 7 × 7 = 28 & 49
Diagonal = \(\sqrt {28^2 + 49^2}\)
= 7\(\sqrt {16 + 49}\)
= 7\(\sqrt {65}\) = 7 × 8 = 56 cm (approx)