A rectangle is made using a 40 m long wire. If its area is 96 square metres, what is the difference between its length and breadth?
Answer and explanation
Correct answer: 4 m
The wire forms the complete perimeter of the rectangle, so 2(length + breadth) = 40, giving length + breadth = 20. Also, length × breadth = 96. The two dimensions are 8 m and 12 m because their sum is 20 and their product is 96. Therefore, the difference is 12 − 8 = 4 m. Exam tip: When a wire forms a rectangle, treat the wire length as the perimeter.
Frequently asked questions
What is the correct answer to this question?
4 m
Why is this the correct answer?
The wire forms the complete perimeter of the rectangle, so 2(length + breadth) = 40, giving length + breadth = 20. Also, length × breadth = 96. The two dimensions are 8 m and 12 m because their sum is 20 and their product is 96. Therefore, the difference is 12 − 8 = 4 m. Exam tip: When a wire forms a rectangle, treat the wire length as the perimeter.
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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