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Area of a rectangle and a square are 35 cm2and49 cm2. If length of the rectangle is equal to the length of one side of the square, find the of the rectangle.
- a)27 cm
- b)24 cm
- c)29.6 cm
- d)30.2 cm
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Area of a rectangle and a square are 35 cm2and49 cm2. If length of the...
To solve this problem, let's first understand the given information:
- The area of the rectangle is 35 cm².
- The area of the square is 49 cm².
- The length of the rectangle is equal to the length of one side of the square.
Now, let's find the length of one side of the square:
- The area of a square is given by the formula: A = side², where A represents the area and side represents the length of one side.
- In this case, the area of the square is 49 cm². Therefore, we can write the equation as: 49 = side².
Solving this equation, we find that the length of one side of the square is 7 cm.
Next, let's find the dimensions of the rectangle:
- We know that the length of the rectangle is equal to the length of one side of the square, which is 7 cm.
- The area of the rectangle is 35 cm². Therefore, we can write the equation as: 35 = length × width.
Now, we need to find the width of the rectangle. We can rearrange the equation to solve for the width:
- Dividing both sides of the equation by the length, we get: width = 35 ÷ length.
- Substituting the length with 7 cm, we find that the width of the rectangle is 35 ÷ 7 = 5 cm.
So, the dimensions of the rectangle are 7 cm (length) and 5 cm (width).
Now, let's calculate the perimeter of the rectangle:
- The perimeter of a rectangle is given by the formula: P = 2 × (length + width).
- Substituting the values, we get: P = 2 × (7 + 5) = 2 × 12 = 24 cm.
Therefore, the perimeter of the rectangle is 24 cm.
Hence, the correct answer is option B) 24 cm.
- The area of the rectangle is 35 cm².
- The area of the square is 49 cm².
- The length of the rectangle is equal to the length of one side of the square.
Now, let's find the length of one side of the square:
- The area of a square is given by the formula: A = side², where A represents the area and side represents the length of one side.
- In this case, the area of the square is 49 cm². Therefore, we can write the equation as: 49 = side².
Solving this equation, we find that the length of one side of the square is 7 cm.
Next, let's find the dimensions of the rectangle:
- We know that the length of the rectangle is equal to the length of one side of the square, which is 7 cm.
- The area of the rectangle is 35 cm². Therefore, we can write the equation as: 35 = length × width.
Now, we need to find the width of the rectangle. We can rearrange the equation to solve for the width:
- Dividing both sides of the equation by the length, we get: width = 35 ÷ length.
- Substituting the length with 7 cm, we find that the width of the rectangle is 35 ÷ 7 = 5 cm.
So, the dimensions of the rectangle are 7 cm (length) and 5 cm (width).
Now, let's calculate the perimeter of the rectangle:
- The perimeter of a rectangle is given by the formula: P = 2 × (length + width).
- Substituting the values, we get: P = 2 × (7 + 5) = 2 × 12 = 24 cm.
Therefore, the perimeter of the rectangle is 24 cm.
Hence, the correct answer is option B) 24 cm.
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Area of a rectangle and a square are 35 cm2and49 cm2. If length of the rectangle is equal to the length of one side of the square, find the of the rectangle.a)27 cmb)24 cmc)29.6 cmd)30.2 cme)None of theseCorrect answer is option 'B'. Can you explain this answer?
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Area of a rectangle and a square are 35 cm2and49 cm2. If length of the rectangle is equal to the length of one side of the square, find the of the rectangle.a)27 cmb)24 cmc)29.6 cmd)30.2 cme)None of theseCorrect answer is option 'B'. Can you explain this answer? for Class 4 2024 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about Area of a rectangle and a square are 35 cm2and49 cm2. If length of the rectangle is equal to the length of one side of the square, find the of the rectangle.a)27 cmb)24 cmc)29.6 cmd)30.2 cme)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 4 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Area of a rectangle and a square are 35 cm2and49 cm2. If length of the rectangle is equal to the length of one side of the square, find the of the rectangle.a)27 cmb)24 cmc)29.6 cmd)30.2 cme)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Area of a rectangle and a square are 35 cm2and49 cm2. If length of the rectangle is equal to the length of one side of the square, find the of the rectangle.a)27 cmb)24 cmc)29.6 cmd)30.2 cme)None of theseCorrect answer is option 'B'. Can you explain this answer? for Class 4 2024 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about Area of a rectangle and a square are 35 cm2and49 cm2. If length of the rectangle is equal to the length of one side of the square, find the of the rectangle.a)27 cmb)24 cmc)29.6 cmd)30.2 cme)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 4 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Area of a rectangle and a square are 35 cm2and49 cm2. If length of the rectangle is equal to the length of one side of the square, find the of the rectangle.a)27 cmb)24 cmc)29.6 cmd)30.2 cme)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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Area of a rectangle and a square are 35 cm2and49 cm2. If length of the rectangle is equal to the length of one side of the square, find the of the rectangle.a)27 cmb)24 cmc)29.6 cmd)30.2 cme)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Area of a rectangle and a square are 35 cm2and49 cm2. If length of the rectangle is equal to the length of one side of the square, find the of the rectangle.a)27 cmb)24 cmc)29.6 cmd)30.2 cme)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Area of a rectangle and a square are 35 cm2and49 cm2. If length of the rectangle is equal to the length of one side of the square, find the of the rectangle.a)27 cmb)24 cmc)29.6 cmd)30.2 cme)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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