The area of a triangle is exactly equal to the area of a square whose side measures 75 meters . Find the base length of this triangle if its correspon - General Intelligence & Reasoning MCQ Practice Test 2026 | ExamTest.live

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The area of a triangle is exactly equal to the area of a square whose side measures 75 meters . Find the base length of this triangle if its corresponding altitude is 125 meters .

Solution & Step-by-step Explanation

1. Calculate Area of the Square: Area of Square = side^{2} = 75 \times 75 = 5625 m^{2} 2. Equate to Area of the Triangle: Area of Triangle = \frac{1}{2} \times base \times altitude Given that Area of Triangle = Area of Square = 5625 m^{2} and altitude = 125 m : 5625 = \frac{1}{2} \times base \times 125 3. Solve for the base: base = \frac{5625 \times 2}{125} Dividing 5625 by 125 : \frac{5625}{125} = 45 base = 45 \times 2 = 90 meters

Try it yourself before checking the explanation above.

The area of a triangle is exactly equal to the area of a square whose side measures 75 meters . Find the base length of this triangle if its corresponding altitude is 125 meters .

70 m

75 m

90 m

65 m

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