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A rectangle is cut into pieces . if the area of 3 pieces is 8,12 and 20. then find the area of fourth pieces.?
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A rectangle is cut into pieces . if the area of 3 pieces is 8,12 and 2...
Analysis of the Problem:
Given:
Area of three pieces: 8, 12, and 20
To find:
Area of the fourth piece
Let the areas of the four pieces be A1, A2, A3, and A4.
According to the problem,
A1 + A2 + A3 = 8 + 12 + 20 = 40
Solution:
Step 1: Find the Total Area of the Rectangle
The total area of the rectangle is the sum of the areas of all four pieces.
Let the total area be T.
T = A1 + A2 + A3 + A4
Step 2: Calculate the Area of the Fourth Piece
From step 1, we know that T = 40.
Therefore, A4 = T - (A1 + A2 + A3)
A4 = 40 - 40
A4 = 0
Therefore, the area of the fourth piece is 0.
Explanation:
Since the total area of the rectangle is the sum of the areas of all four pieces, we can find the area of the fourth piece by subtracting the sum of the areas of the three known pieces from the total area. In this case, the total area is known to be 40, and the sum of the areas of the three known pieces is also 40. Therefore, the area of the fourth piece is 0.
In conclusion, the area of the fourth piece after cutting a rectangle into pieces with areas 8, 12, and 20 is 0.
Given:
Area of three pieces: 8, 12, and 20
To find:
Area of the fourth piece
Let the areas of the four pieces be A1, A2, A3, and A4.
According to the problem,
A1 + A2 + A3 = 8 + 12 + 20 = 40
Solution:
Step 1: Find the Total Area of the Rectangle
The total area of the rectangle is the sum of the areas of all four pieces.
Let the total area be T.
T = A1 + A2 + A3 + A4
Step 2: Calculate the Area of the Fourth Piece
From step 1, we know that T = 40.
Therefore, A4 = T - (A1 + A2 + A3)
A4 = 40 - 40
A4 = 0
Therefore, the area of the fourth piece is 0.
Explanation:
Since the total area of the rectangle is the sum of the areas of all four pieces, we can find the area of the fourth piece by subtracting the sum of the areas of the three known pieces from the total area. In this case, the total area is known to be 40, and the sum of the areas of the three known pieces is also 40. Therefore, the area of the fourth piece is 0.
In conclusion, the area of the fourth piece after cutting a rectangle into pieces with areas 8, 12, and 20 is 0.
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A rectangle is cut into pieces . if the area of 3 pieces is 8,12 and 20. then find the area of fourth pieces.?
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A rectangle is cut into pieces . if the area of 3 pieces is 8,12 and 20. then find the area of fourth pieces.? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A rectangle is cut into pieces . if the area of 3 pieces is 8,12 and 20. then find the area of fourth pieces.? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangle is cut into pieces . if the area of 3 pieces is 8,12 and 20. then find the area of fourth pieces.?.
A rectangle is cut into pieces . if the area of 3 pieces is 8,12 and 20. then find the area of fourth pieces.? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A rectangle is cut into pieces . if the area of 3 pieces is 8,12 and 20. then find the area of fourth pieces.? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangle is cut into pieces . if the area of 3 pieces is 8,12 and 20. then find the area of fourth pieces.?.
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