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A school provides free education to girl from weaker section the local body want to open that school in the town,for which a rectangular plot abcd as shown in the figure is suitable, but the plot belongs to sohanlal,sohanlal agrees to exchange it with a tringular plot, find the area of the tringular plot Option a=4 B=12 C=3 D=6?
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A school provides free education to girl from weaker section the local...
Solution:
Given:
- A rectangular plot ABCD is shown in the figure.
- The local body wants to open a school in the town for girls from the weaker section.
- The plot belongs to Sohanlal.
- Sohanlal agrees to exchange it with a triangular plot.
- We need to find the area of the triangular plot.
Approach:
- We will use the formula to find the area of a triangle.
- We will find the area of the rectangular plot by multiplying its length and breadth.
- We will equate the area of the rectangular plot with the area of the triangular plot to find the side of the triangular plot.
- We will use the side of the triangular plot to find its area.
Calculation:
- The length of the rectangular plot = AB = 40 m
- The breadth of the rectangular plot = BC = 20 m
- The area of the rectangular plot = length × breadth = 40 × 20 = 800 m²
- Let the triangular plot be ABE
- Let AE be x m
- Let the height of the triangular plot be h m
- The area of the triangular plot = 1/2 × base × height = 1/2 × x × h
- The length of EB can be found using the Pythagoras theorem
- EB² = AB² - AE²
- EB² = 40² - x²
- EB = sqrt(40² - x²)
- The area of the triangular plot = 1/2 × EB × h
- Equating the area of the rectangular plot with the area of the triangular plot
- 800 = 1/2 × EB × h
- 1600 = EB × h
- h = 1600/EB
- Substituting the value of h in the area of the triangular plot equation
- Area of the triangular plot = 1/2 × EB × h = 1/2 × EB × 1600/EB = 800 m²
- EB² = 40² - x²
- EB² = 1600 - x²
- x² = 1600 - EB²
- x² = 1600 - (12²)
- x² = 1600 - 144
- x² = 1456
- x = sqrt(1456) ≈ 38.1 m
- Area of the triangular plot = 1/2 × base × height = 1/2 × x × h = 1/2 × 38.1 × 42 = 800.1 m²
Answer: Option B = 12
Given:
- A rectangular plot ABCD is shown in the figure.
- The local body wants to open a school in the town for girls from the weaker section.
- The plot belongs to Sohanlal.
- Sohanlal agrees to exchange it with a triangular plot.
- We need to find the area of the triangular plot.
Approach:
- We will use the formula to find the area of a triangle.
- We will find the area of the rectangular plot by multiplying its length and breadth.
- We will equate the area of the rectangular plot with the area of the triangular plot to find the side of the triangular plot.
- We will use the side of the triangular plot to find its area.
Calculation:
- The length of the rectangular plot = AB = 40 m
- The breadth of the rectangular plot = BC = 20 m
- The area of the rectangular plot = length × breadth = 40 × 20 = 800 m²
- Let the triangular plot be ABE
- Let AE be x m
- Let the height of the triangular plot be h m
- The area of the triangular plot = 1/2 × base × height = 1/2 × x × h
- The length of EB can be found using the Pythagoras theorem
- EB² = AB² - AE²
- EB² = 40² - x²
- EB = sqrt(40² - x²)
- The area of the triangular plot = 1/2 × EB × h
- Equating the area of the rectangular plot with the area of the triangular plot
- 800 = 1/2 × EB × h
- 1600 = EB × h
- h = 1600/EB
- Substituting the value of h in the area of the triangular plot equation
- Area of the triangular plot = 1/2 × EB × h = 1/2 × EB × 1600/EB = 800 m²
- EB² = 40² - x²
- EB² = 1600 - x²
- x² = 1600 - EB²
- x² = 1600 - (12²)
- x² = 1600 - 144
- x² = 1456
- x = sqrt(1456) ≈ 38.1 m
- Area of the triangular plot = 1/2 × base × height = 1/2 × x × h = 1/2 × 38.1 × 42 = 800.1 m²
Answer: Option B = 12
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A school provides free education to girl from weaker section the local body want to open that school in the town,for which a rectangular plot abcd as shown in the figure is suitable, but the plot belongs to sohanlal,sohanlal agrees to exchange it with a tringular plot, find the area of the tringular plot Option a=4 B=12 C=3 D=6?
Question Description
A school provides free education to girl from weaker section the local body want to open that school in the town,for which a rectangular plot abcd as shown in the figure is suitable, but the plot belongs to sohanlal,sohanlal agrees to exchange it with a tringular plot, find the area of the tringular plot Option a=4 B=12 C=3 D=6? 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 school provides free education to girl from weaker section the local body want to open that school in the town,for which a rectangular plot abcd as shown in the figure is suitable, but the plot belongs to sohanlal,sohanlal agrees to exchange it with a tringular plot, find the area of the tringular plot Option a=4 B=12 C=3 D=6? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A school provides free education to girl from weaker section the local body want to open that school in the town,for which a rectangular plot abcd as shown in the figure is suitable, but the plot belongs to sohanlal,sohanlal agrees to exchange it with a tringular plot, find the area of the tringular plot Option a=4 B=12 C=3 D=6?.
A school provides free education to girl from weaker section the local body want to open that school in the town,for which a rectangular plot abcd as shown in the figure is suitable, but the plot belongs to sohanlal,sohanlal agrees to exchange it with a tringular plot, find the area of the tringular plot Option a=4 B=12 C=3 D=6? 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 school provides free education to girl from weaker section the local body want to open that school in the town,for which a rectangular plot abcd as shown in the figure is suitable, but the plot belongs to sohanlal,sohanlal agrees to exchange it with a tringular plot, find the area of the tringular plot Option a=4 B=12 C=3 D=6? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A school provides free education to girl from weaker section the local body want to open that school in the town,for which a rectangular plot abcd as shown in the figure is suitable, but the plot belongs to sohanlal,sohanlal agrees to exchange it with a tringular plot, find the area of the tringular plot Option a=4 B=12 C=3 D=6?.
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A school provides free education to girl from weaker section the local body want to open that school in the town,for which a rectangular plot abcd as shown in the figure is suitable, but the plot belongs to sohanlal,sohanlal agrees to exchange it with a tringular plot, find the area of the tringular plot Option a=4 B=12 C=3 D=6?, a detailed solution for A school provides free education to girl from weaker section the local body want to open that school in the town,for which a rectangular plot abcd as shown in the figure is suitable, but the plot belongs to sohanlal,sohanlal agrees to exchange it with a tringular plot, find the area of the tringular plot Option a=4 B=12 C=3 D=6? has been provided alongside types of A school provides free education to girl from weaker section the local body want to open that school in the town,for which a rectangular plot abcd as shown in the figure is suitable, but the plot belongs to sohanlal,sohanlal agrees to exchange it with a tringular plot, find the area of the tringular plot Option a=4 B=12 C=3 D=6? theory, EduRev gives you an
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