A rectangular field has its length and breadth in the ratio of 8:7 respectively. A man riding a bicycle completes one lap of this field along its peri - Quantitative Aptitude MCQ Competitive Exam 2026 | ExamTest.live

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A rectangular field has its length and breadth in the ratio of 8 : 7 respectively. A man riding a bicycle completes one lap of this field along its perimeter at a speed of 28.8 km/hr in 2.5 minutes . What is the area of the field?

Solution & Step-by-step Explanation

Given: Ratio of length (l) to breadth (b) = 8 : 7 Let l = 8 x and b = 7 x . Speed of the man = 28.8 km/hr = 28.8 \times \frac{5}{18} m/s = 8 m/s Time taken = 2.5 minutes = 2.5 \times 60 seconds = 150 seconds Distance covered in one lap = Speed \times Time Distance = 8 \times 150 = 1200 m Since one lap equals the perimeter of the rectangular field: Perimeter = 2 (l + b) = 1200 2 (8 x + 7 x) = 1200 2 \times 15 x = 1200 30 x = 1200 ⟹ x = 40 Thus, the dimensions are: Length, l = 8 \times 40 = 320 m Breadth, b = 7 \times 40 = 280 m Area of the field: Area = l \times b = 320 \times 280 = 89600 sq. m

Try it yourself before checking the explanation above.

A rectangular field has its length and breadth in the ratio of 8 : 7 respectively. A man riding a bicycle completes one lap of this field along its perimeter at a speed of 28.8 km/hr in 2.5 minutes . What is the area of the field?

89600 sq. m

79600 sq. m

84600 sq. m

99600 sq. m

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