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A rectangular plot is 112m long and 6m broad. It has 2m path all around it on the inside. Find the area of the path and the cost of constructing ot the rate of rs 60per sq m?
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A rectangular plot is 112m long and 6m broad. It has 2m path all aroun...
Given:
Length of rectangular plot = 112m
Breadth of rectangular plot = 6m
Path width = 2m
To find:
1. Area of the path
2. Cost of constructing the path at the rate of Rs 60 per sq m
Solution:
Step 1: Calculate the area of the rectangular plot
The area of a rectangle is given by the formula:
Area = Length × Breadth
Substituting the given values:
Area of the rectangular plot = 112m × 6m = 672m²
Step 2: Calculate the area of the inner rectangle (without the path)
The inner rectangle is formed by reducing 2m from each side of the rectangular plot.
Length of the inner rectangle = Length of the rectangular plot - 2 × Path width = 112m - 2 × 2m = 112m - 4m = 108m
Breadth of the inner rectangle = Breadth of the rectangular plot - 2 × Path width = 6m - 2 × 2m = 6m - 4m = 2m
Area of the inner rectangle = Length of the inner rectangle × Breadth of the inner rectangle = 108m × 2m = 216m²
Step 3: Calculate the area of the path
Area of the path = Area of the rectangular plot - Area of the inner rectangle
Area of the path = 672m² - 216m² = 456m²
Step 4: Calculate the cost of constructing the path
Cost of constructing the path = Area of the path × Rate per sq m
Cost of constructing the path = 456m² × Rs 60/m² = Rs 27,360
Therefore, the area of the path is 456m² and the cost of constructing the path at the rate of Rs 60 per sq m is Rs 27,360.
Length of rectangular plot = 112m
Breadth of rectangular plot = 6m
Path width = 2m
To find:
1. Area of the path
2. Cost of constructing the path at the rate of Rs 60 per sq m
Solution:
Step 1: Calculate the area of the rectangular plot
The area of a rectangle is given by the formula:
Area = Length × Breadth
Substituting the given values:
Area of the rectangular plot = 112m × 6m = 672m²
Step 2: Calculate the area of the inner rectangle (without the path)
The inner rectangle is formed by reducing 2m from each side of the rectangular plot.
Length of the inner rectangle = Length of the rectangular plot - 2 × Path width = 112m - 2 × 2m = 112m - 4m = 108m
Breadth of the inner rectangle = Breadth of the rectangular plot - 2 × Path width = 6m - 2 × 2m = 6m - 4m = 2m
Area of the inner rectangle = Length of the inner rectangle × Breadth of the inner rectangle = 108m × 2m = 216m²
Step 3: Calculate the area of the path
Area of the path = Area of the rectangular plot - Area of the inner rectangle
Area of the path = 672m² - 216m² = 456m²
Step 4: Calculate the cost of constructing the path
Cost of constructing the path = Area of the path × Rate per sq m
Cost of constructing the path = 456m² × Rs 60/m² = Rs 27,360
Therefore, the area of the path is 456m² and the cost of constructing the path at the rate of Rs 60 per sq m is Rs 27,360.
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A rectangular plot is 112m long and 6m broad. It has 2m path all around it on the inside. Find the area of the path and the cost of constructing ot the rate of rs 60per sq m?
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A rectangular plot is 112m long and 6m broad. It has 2m path all around it on the inside. Find the area of the path and the cost of constructing ot the rate of rs 60per sq m? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A rectangular plot is 112m long and 6m broad. It has 2m path all around it on the inside. Find the area of the path and the cost of constructing ot the rate of rs 60per sq m? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular plot is 112m long and 6m broad. It has 2m path all around it on the inside. Find the area of the path and the cost of constructing ot the rate of rs 60per sq m?.
A rectangular plot is 112m long and 6m broad. It has 2m path all around it on the inside. Find the area of the path and the cost of constructing ot the rate of rs 60per sq m? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A rectangular plot is 112m long and 6m broad. It has 2m path all around it on the inside. Find the area of the path and the cost of constructing ot the rate of rs 60per sq m? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular plot is 112m long and 6m broad. It has 2m path all around it on the inside. Find the area of the path and the cost of constructing ot the rate of rs 60per sq m?.
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