Question
A football field is 160 feet wide and 360 feet long. The coach wants to put spray paint along the diagonal of the field. If the spray paint costs approximately $1 per foot of coverage, how much should the coach budget for spray paint?
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 as
c2= a2 + b2
The correct answer is: the budget of the coach for spray paint should be $394
Here, Length of perpendicular(a) = 160 ft
Length of base(b) = 360 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 = 1602 + 3602
d2 = 155200
d 
394 ft
Cost of paint for 1 foot = $1
Cost of paint for 394 feet = $394
Final Answer:
Hence, the budget of the coach for spray paint should be $394.
394 ftFinal Answer:
Hence, the budget of the coach for spray paint should be $394.
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