1. The area of a plastic sheet is 300 sq. cm and its length is 30 cm. What is the breadth of the plastic sheet?
\[ \begin{align*} \text{Length of the plastic sheet} & = 30 \, \text{cm} \\ \text{Area of the plastic sheet} & = 300 \, \text{cm}^2 \\ \text{Area of a rectangle} & = \text{length} \times \text{breadth} \\ \text{breadth} & = \frac{\text{Area}}{\text{length}} \\ & = \frac{300 \, \text{cm}^2}{30 \, \text{cm}} \\ & = 10 \, \text{cm} \\ \text{Answer: The breadth of} & \text{ the plastic sheet is 10 cm.} \end{align*} \]
2. The area of a football ground is 2,900 m2. If its breadth is 29 m, find the length of the ground.
\[ \begin{align*} \text{Breadth of the football ground} & = 29 \, \text{m} \\ \text{Area of the football ground} & = 2900 \, \text{m}^2 \\ \text{Area of a rectangle} & = \text{length} \times \text{breadth} \\ \text{length} & = \frac{\text{Area}}{\text{breadth}} \\ & = \frac{2900 \, \text{m}^2}{29 \, \text{m}} \\ & = 100 \, \text{m} \\ \text{Answer: The length of the football} & \text{ ground is 100 m.} \end{align*} \]
3. The perimeter of a square lawn is 72 m. Find the length of the side of the square lawn?
\[ \begin{align*} \text{Perimeter of the square lawn} & = 72 \, \text{m} \\ \text{Perimeter of a square} & = 4 \times \text{side} \\ \text{side} & = \frac{\text{Perimeter}}{4} \\ & = \frac{72 \, \text{m}}{4} \\ & = 18 \, \text{m} \\ \text{Answer: The length of a side of} & \text{ the square lawn is 18 m.} \end{align*} \]
4. A rectangular garden is 230 m long and its area is 13,800 m2. Find the width of the garden?
\[ \begin{align*} \text{Length of the garden} & = 230 \, \text{m} \\ \text{Area of the garden} & = 13800 \, \text{m}^2 \\ \text{Area of a rectangle} & = \text{length} \times \text{width} \\ \text{width} & = \frac{\text{Area}}{\text{length}} \\ & = \frac{13800 \, \text{m}^2}{230 \, \text{m}} \\ & = 60 \, \text{m} \\ \text{Answer: The width of} & \text{ the garden is 60 m.} \end{align*} \]
5. Neha covered 95.52 m by running around a square garden. Find the length of each side of the garden.
\[ \begin{align*} \text{Perimeter covered by Neha} & = 95.52 \, \text{m} \\ \text{Perimeter of a square} & = 4 \times \text{side} \\ \text{side} & = \frac{\text{Perimeter}}{4} \\ & = \frac{95.52 \, \text{m}}{4} \\ & = 23.88 \, \text{m} \\ \text{Answer: The length of each side} & \text{ of the garden is 23.88 m.} \end{align*} \]