To find the length of the walkway along the diagonal, we can use the Pythagorean theorem. The length of the walkway is the hypotenuse of a right triangle with sides measuring 4 feet and 5 feet.
Using the Pythagorean theorem:
a^2 + b^2 = c^2
where a and b are the lengths of the sides of the right triangle, and c is the length of the hypotenuse (the walkway).
Plugging in the values:
4^2 + 5^2 = c^2
16 + 25 = c^2
41 = c^2
Taking the square root of both sides to solve for c:
c = √41 ≈ 6.4 inches
Therefore, the length of the walkway along the diagonal is approximately 6.4 inches. Thus, the correct answer is 6.4 inches.
A rectangular hall is 5 feet long and 4 feet wide. How long is a walkway along the diagonal?
2.8 inches
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6.4 inches
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1 answer
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