DAV Class 7 Maths Chapter 11 Value Based Questions

1. Jia's mother prepared three pizzas of same size for her daughter and her two friends. Just then two more friends joined them. They decided to share the three pizzas among themselves.

(a) If radius of each pizza is 7 cm, find the area of the share of pizza that each friend gets.

\[ \begin{align*} \text{Radius of each pizza } (r) & = 7 \, cm \\ \text{Number of pizzas } & = 3 \\ \text{Number of children } & = 5 \\ \text{Area of 3 pizzas } & = 3 \times \pi r^2 \\ & = 3 \times \frac{22}{\cancelto{1}{7}} \times \cancelto{1}{7} \times 7 \\ & = 66 \times 7 \\ & = \color{green} 462 \, cm^2 \\ \\ \text{Area of shared pizzas } & = \frac{ \text{Area of 3 pizzas}}{\text{Number of children}} \\ \\ & = \frac{462 \, cm^2}{5} \\ & = \color{green} 92.4 \, cm^2 \\ \end{align*} \]

Answer Area of the share of pizza that each friend gets \( = \color{red} 92.4 \, cm^2 \)

(b) What value of the children is depicted here?

Answer \( \color{red} Sharing \)

2. There was a deserted land near a colony where people used to throw garbage. Colony people united to develop a pond in triangular shape as shown in figure. The land is in the shape of a parallelogram ABCD. In the rest of the portion medicinal plants are grown. Area of the parallelogram is \( 200 m^2 \).

(a) Calculate the area where medicinal plants are grown.

\[ \begin{align*} \text{Area of the parallelogram} & = 200 \, m^2 \\ \text{Area of the parallelogram} & = \text{Area of the rectange} \\ \text{Medicinal plants area} & = \frac{1}{2} \times (\text{Area of the rectange}) \\ \\ & = \frac{1}{\cancelto{1}{2}} \times \cancelto{100}{200} \\ \\ & = \color{green} 100 \, m^2 \end{align*} \]

Answer Area of the medicinal plants \( = \color{red} 100 \, cm^2 \)

(b) Which value is depicted here?

Answer \( \color{red} Cleanliness \, , \, caring \, for \, environment \)