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Class 10MathematicsQuadratic EquationsWord Problems and ApplicationsExpertLevel 41
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The length of a rectangular room is (4\text{ m}) more than its breadth. The floor area is (96\text{ m}^2). What is the perimeter of the room?

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Answer and explanation

Correct answer: (40\text{ m})

Let breadth be (x), then (x(x+4)=96), so (x=8) and length is (12). The perimeter is (2(8+12)=40\text{ m}).

Related tags

Quadratic EquationsRoomPerimeter

Frequently asked questions

What is the correct answer to this question?

(40\text{ m})

Why is this the correct answer?

Let breadth be (x), then (x(x+4)=96), so (x=8) and length is (12). The perimeter is (2(8+12)=40\text{ m}).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.

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  2. 2The product of two consecutive positive integers is (72). What is the smaller integer?
  3. 3The product of two consecutive positive integers is (132). What is the larger integer?
  4. 4A rectangle has length (3) cm more than its breadth and area (70) square cm. What is the breadth?
  5. 5A rectangle has breadth (6) m and area (96) square m. If its length is (x) m, which equation is correct?
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  7. 7A square field has area (225) square m. What is its perimeter?
  8. 8A number multiplied by its next integer gives (56). What is the number?
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  10. 10The square of a positive number is (45) more than (4) times the number. What is the number?
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