Recent weather conditions have ruined the park in Riya's locality. Constant rains have spoiled the grass and greenery. Strong winds have destroyed the fencing as well. New fences have been installed using a 150m long wire. The length of the park is twice the breadth of the park. Answer the following questions: 1. What is the perimeter of a rectangle? 2. Find the dimensions of the park. 3. Find the cost of laying grass in the park if the cost of laying grass is Rs.15 per meter square.
Case 3. Mart and his family are on a family trip and they plan to play a game where a bag contains Rs.1 coins andRs.2 coins whose total value is Rs.70. The number of Rs.1 coins is five times that of Rs.2 coins. All the family members are being divided into two teams, each of them will pick up the coins one by one. 1. The shifting of terms from one side to another along with the change in sign is termed as____.
2. When expressions on both sides of the equal to sign are equal, then the statement is known as_____.
3. Find the number of coins of each denomination.
Case 4 Raju is a young boy who lives in a nuclear family. He is the only child of his parents. One day his Uncle came to his house and asked him about his age. Raju being a smart boy did not tell his present age to his uncle instead he told him that my father is 5 years more than three times of my age and his father is 44 years old. Answer the following questions:
1. What is the highest power of variable in a linear equation?
2. How many solutions are possible for a linear equation? Find the present age of Raju. Also mention the age of Raju's father after 3 years.
Triangle and its properties
Case 1
A Painter needs to paint a room having length 3 m, width 3 m, height 4 m. but he also want to buy a ladder.
1. What must be the maximum length of ladder he can use to paint a wall?
2. What is the price of ladder if it cost ₹ 5 per meter?
3. What will be the maximum length of a pole can be kept on the floor?
Case 3. Mart and his family are on a family trip and they plan to play a game where a bag contains Rs.1 coins andRs.2 coins whose total value is Rs.70. The number of Rs.1 coins is five times that of Rs.2 coins. All the family members are being divided into two teams, each of them will pick up the coins one by one. 1. The shifting of terms from one side to another along with the change in sign is termed as____.
2. When expressions on both sides of the equal to sign are equal, then the statement is known as_____.
3. Find the number of coins of each denomination.
Case 4 Raju is a young boy who lives in a nuclear family. He is the only child of his parents. One day his Uncle came to his house and asked him about his age. Raju being a smart boy did not tell his present age to his uncle instead he told him that my father is 5 years more than three times of my age and his father is 44 years old. Answer the following questions:
1. What is the highest power of variable in a linear equation?
2. How many solutions are possible for a linear equation? Find the present age of Raju. Also mention the age of Raju's father after 3 years.
Triangle and its properties
Case 1
A Painter needs to paint a room having length 3 m, width 3 m, height 4 m. but he also want to buy a ladder.
1. What must be the maximum length of ladder he can use to paint a wall?
2. What is the price of ladder if it cost ₹ 5 per meter?
3. What will be the maximum length of a pole can be kept on the floor?
Answers & Comments
Step-by-step explanation:
Regarding the questions about the park in Riya’s locality:
The perimeter of a rectangle is defined as the total distance covered by its boundaries or sides. It is calculated by adding the lengths of all four sides of the rectangle6. The formula for calculating the perimeter of a rectangle is P = 2 (Length + Width)6. In this case, since we know that the length of the park is twice its breadth, we can represent the breadth as b and the length as 2b. Therefore, the perimeter of the park would be P = 2 (2b + b) = 6b.
To find the dimensions of the park, we need more information. The problem states that the new fences have been installed using a 150m long wire, but it doesn’t specify how this wire is used to enclose the park. Without additional information, we cannot determine the exact dimensions of the park.
To find the cost of laying grass in the park, we need to know its area. The problem mentions that constant rains have spoiled the grass and greenery in the park, but it doesn’t provide any information about its area. Without knowing the area of the park, we cannot calculate the cost of laying grass.
Regarding Case 3:
The shifting of terms from one side to another along with a change in sign is termed as transposition4.
When expressions on both sides of the equal sign are equal, then the statement is known as an equation7.
To find the number of coins of each denomination in Case 3, we need more information about their quantities or values.
Regarding Case 4:
The highest power of a variable in a linear equation is 1.
A linear equation can have either one solution, infinitely many solutions, or no solution depending on its coefficients and constants8. To find Raju’s present age and his father’s age after 3 years, we need more information about their ages or their relationship.
Regarding Case 1:
The maximum length of ladder required to paint a wall depends on its height. In this case, since the height of the room is given as 4 m, a ladder with a length greater than or equal to 4 m would be sufficient.
The price of a ladder is given as ₹5 per meter. To calculate the price of a ladder with a specific length, we need to know its length.
The maximum length of a pole that can be kept on the floor depends on various factors such as space availability, stability requirements, etc. Without additional information, we cannot determine its maximum length.