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The given figure is made of a square and a rectangle . the breadth of the rectangle is 1/3 the length of the square .If the area of the whole figure is 384 sq.cm ,then find the length of the rectangle?
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The given figure is made of a square and a rectangle . the breadth of ...
Given Information:
- The figure is made of a square and a rectangle.
- The breadth of the rectangle is 1/3 the length of the square.
- The area of the whole figure is 384 sq.cm.
Let's solve the problem step by step:
Step 1: Determine the relationship between the square and rectangle:
Let the side length of the square be 'x' cm.
The breadth of the rectangle is 1/3 of the length of the square, which means the breadth of the rectangle is (1/3)x cm.
Step 2: Calculate the area of the square and rectangle:
- Area of the square = x^2 sq.cm
- Area of the rectangle = x * (1/3)x = (1/3)x^2 sq.cm
Step 3: Write the equation for the total area:
Total area = Area of square + Area of rectangle
384 = x^2 + (1/3)x^2
Step 4: Solve the equation:
384 = (4/3)x^2
x^2 = 288
x = √288
x = 16.97 cm (approx)
Step 5: Find the length of the rectangle:
Length of the rectangle = x = 16.97 cm
Therefore, the length of the rectangle is approximately 16.97 cm.
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The given figure is made of a square and a rectangle . the breadth of the rectangle is 1/3 the length of the square .If the area of the whole figure is 384 sq.cm ,then find the length of the rectangle?
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The given figure is made of a square and a rectangle . the breadth of the rectangle is 1/3 the length of the square .If the area of the whole figure is 384 sq.cm ,then find the length of the rectangle? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about The given figure is made of a square and a rectangle . the breadth of the rectangle is 1/3 the length of the square .If the area of the whole figure is 384 sq.cm ,then find the length of the rectangle? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The given figure is made of a square and a rectangle . the breadth of the rectangle is 1/3 the length of the square .If the area of the whole figure is 384 sq.cm ,then find the length of the rectangle?.
The given figure is made of a square and a rectangle . the breadth of the rectangle is 1/3 the length of the square .If the area of the whole figure is 384 sq.cm ,then find the length of the rectangle? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about The given figure is made of a square and a rectangle . the breadth of the rectangle is 1/3 the length of the square .If the area of the whole figure is 384 sq.cm ,then find the length of the rectangle? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The given figure is made of a square and a rectangle . the breadth of the rectangle is 1/3 the length of the square .If the area of the whole figure is 384 sq.cm ,then find the length of the rectangle?.
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