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the area of a square of side 8cm is 1÷3of the area of rectangle.if the rectangle of the rectangle is double the side of the square, find the breadth of the rectangle.
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the area of a square of side 8cm is 1÷3of the area of rectangle.if the...
Let the sides be
a=16,b=12,c=20. (By herons formula)
s = a+b+c = 16+12+20. 48--- 24
A = √s(s-a)(s-b)(s-c)
A = √24(24-16)(24-12)(24-20)
A = √24�8�12�4
A = √(2�2�3�2)(2�2�2)(2�3�2)(2�2)
A = 2�2�2�2�2�3
A = 96 m sq.
Cost per metre=4
Cost for 96 m = 4�96
=384 rs
This question is part of UPSC exam. View all Class 6 courses
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the area of a square of side 8cm is 1÷3of the area of rectangle.if the...
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the area of a square of side 8cm is 1÷3of the area of rectangle.if the...
Problem Explanation:
Given that the area of a square with side 8cm is 1/3 of the area of a rectangle and the length of the rectangle is double the side of the square, we need to find the breadth of the rectangle.
Solution:
- Let's first calculate the area of the square:
- Area of square = side x side = 8cm x 8cm = 64 sq.cm
- Since the area of the square is 1/3 of the area of the rectangle, we can calculate the area of the rectangle:
- Area of rectangle = 3 x Area of square = 3 x 64 sq.cm = 192 sq.cm
- Given that the length of the rectangle is double the side of the square:
- Let the side of the square be x cm
- Length of rectangle = 2x cm
- Now, we can find the breadth of the rectangle by dividing the area of the rectangle by its length:
- Breadth of rectangle = Area of rectangle ÷ Length of rectangle
- Breadth of rectangle = 192 sq.cm ÷ 2x cm
- Substitute the values to find the breadth:
- Breadth of rectangle = 96 ÷ x cm
- As we know, the side of the square is 8cm, substitute x = 8cm:
- Breadth of rectangle = 96 ÷ 8 cm = 12 cm
Therefore, the breadth of the rectangle is 12 cm.
Given that the area of a square with side 8cm is 1/3 of the area of a rectangle and the length of the rectangle is double the side of the square, we need to find the breadth of the rectangle.
Solution:
- Let's first calculate the area of the square:
- Area of square = side x side = 8cm x 8cm = 64 sq.cm
- Since the area of the square is 1/3 of the area of the rectangle, we can calculate the area of the rectangle:
- Area of rectangle = 3 x Area of square = 3 x 64 sq.cm = 192 sq.cm
- Given that the length of the rectangle is double the side of the square:
- Let the side of the square be x cm
- Length of rectangle = 2x cm
- Now, we can find the breadth of the rectangle by dividing the area of the rectangle by its length:
- Breadth of rectangle = Area of rectangle ÷ Length of rectangle
- Breadth of rectangle = 192 sq.cm ÷ 2x cm
- Substitute the values to find the breadth:
- Breadth of rectangle = 96 ÷ x cm
- As we know, the side of the square is 8cm, substitute x = 8cm:
- Breadth of rectangle = 96 ÷ 8 cm = 12 cm
Therefore, the breadth of the rectangle is 12 cm.
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the area of a square of side 8cm is 1÷3of the area of rectangle.if the rectangle of the rectangle is double the side of the square, find the breadth of the rectangle.
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the area of a square of side 8cm is 1÷3of the area of rectangle.if the rectangle of the rectangle is double the side of the square, find the breadth of the rectangle. for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about the area of a square of side 8cm is 1÷3of the area of rectangle.if the rectangle of the rectangle is double the side of the square, find the breadth of the rectangle. covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the area of a square of side 8cm is 1÷3of the area of rectangle.if the rectangle of the rectangle is double the side of the square, find the breadth of the rectangle..
the area of a square of side 8cm is 1÷3of the area of rectangle.if the rectangle of the rectangle is double the side of the square, find the breadth of the rectangle. for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about the area of a square of side 8cm is 1÷3of the area of rectangle.if the rectangle of the rectangle is double the side of the square, find the breadth of the rectangle. covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the area of a square of side 8cm is 1÷3of the area of rectangle.if the rectangle of the rectangle is double the side of the square, find the breadth of the rectangle..
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