Question

In a family with two sons, a father has a field in the form of a right-angled triangle with sides including right angle are 18m and 40m. He wants to give independent charge to his sons, so he divided the field in the ratio 2 : 1 : 1, the bigger part he kept for himself and divided remaining equally among the sons, find the total area distributed to the sons.

• A. $360m^2$
• B. $90m^2$
• C. $180m^2$
• D. $200m^2$

Answer 1

The correct option is C $180m^2$

Area of the field $=\frac{1}{2}(18\times 40)$
$=360m^2$
Father divided the field in the ratio 2:1:1 by keeping bigger part for himself.
He divided it into two equal parts. One part he kept for himself and another part he further divided between the sons.
$\therefore$ Total area distributed to the sons $=360÷2=180m^2$.