SOLUTION: I struggle with word problems but I think I have this one...I just need someone to double check and make sure I am on the right track. Thanks! Problem: The mainsail of a lightning

Question 126669This question is from textbook Introductory Algebra
: I struggle with word problems but I think I have this one...I just need someone to double check and make sure I am on the right track. Thanks!
Problem: The mainsail of a lightning sailboat is a right triangle in which the hypotenuse is called the leech. If a 24ft tall mainsail has a leech length of 26ft. and if the sailcloth costs $10 per square foot, find the cost of a new mainsail.
a^2 + b^2 = c^2
x^2 + 24^2 = 26^2
x^2 + 576 = 676
x^2 + 576 - 676 = 0
x^2 - 100 = 0
(x + 10)(x - 10)
x = 10 This question is from textbook Introductory Algebra

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Your answer is not correct and there is a simpler way to do it:
x^2 + 24^2 = 26^2
x^2 + 576 = 676
x^2=676-576
x^2=100
x=10
.
1/2a*b=A
.5*10*24=120'^2
120*10=$1,200. cost of a new mainsail
.
Ed

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