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Answer:
9 = x (assuming 15 is the hypotenuse)
Step-by-step explanation:
15^2 = 12^2 + x^2
225 = 144 + x^2
subtract 144 from both sides
81 = x^2
square root both sides
9 = x
Given that, the length of the garden is 2(x+6)feet and width is 3.5x feet.
So, length : l = 2(x+6) and width = 3.5x.
To find the fence of the garden we need to find the perimeter of the rectangle.
Formula to find the perimeter is:
p = 2l + 2b
= 2*2(x+6) + 2*3.5x
= 4(x+6) + 7x By multiplication.
= 4x + 24 + 7x By distribution property.
= 11x + 24 Combining the like terms.
So, he need to buy 11x + 24 feet fencing.
Hope this helps you!