Question

Area of a square natural lake is 50 sq. kms. A diver wishing to cross the lake diagonally, will have to swim a distance of

• A. 10 miles
• B. 12 miles
• C. 15 miles
• D. None of these

Answer 1

The Correct Option is D

To determine the distance a diver would need to swim diagonally across a square lake with an area of 50 square kilometers, we can use the properties of a square. The formula to find the area of a square is:

Area = s²

where s is the length of each side of the square. Given the area is 50 sq. km, we can solve for s:

s² = 50

s = √50

The diagonal d of a square can be found using the formula:

d = s√2

Substituting s = √50:

d = (√50)√2

Since √50 = 5√2, we have:

d = (5√2)√2

d = 5(√2 * √2)

d = 5 * 2

d = 10

Hence, the diver would need to swim 10 kilometers diagonally across the lake. Since the options are given in miles, we should convert kilometers to miles (1 km = 0.621371 miles):

10 km ≈ 6.21371 miles

Thus, none of the given options directly match 6.21371 miles. Therefore, the correct answer is None of these.