Question
Rectangular garden measures 5 feet wide by 12 feet long. If a hose costs $5 per foot, how much would it cost to place a hose through the diagonal of the garden?
Hint:
Pythagoras' theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
If a is the perpendicular, b is the base, and c is the hypotenuse, then according to the definition, the Pythagoras Theorem formula is given a
c2= a2 + b2
The correct answer is: the cost to place a hose through the diagonal of the garden is $65
Here, Length of perpendicular(a) = 5 ft
Length of base(b) = 12 ft
Let’s say that the diagonal length is d and here that length is the hypotenuse of the right-angled triangle.
Using Pythagoras theorem
d2 = a2 + b2
d2 = 52 + 122
d2 = 169
d = 13 ft
Cost of hose for 1 foot = $5
Cost of hose for 13 feet = $5 × 13 = $65
Final Answer:
Hence, the cost to place a hose through the diagonal of the garden is $65.
Cost of hose for 1 foot = $5
Cost of hose for 13 feet = $5 × 13 = $65
Final Answer:
Hence, the cost to place a hose through the diagonal of the garden is $65.
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