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the blackburn family has a square field where they keep their cattle. the area of the field is 40,000 ft2 , and mr. blackburn wants to put a fence diagonally through the field. what should the length of the fence be? round to the nearest tenth.
the blackburn family has a square field where they keep their cattle. the area of the field is 40,000 ft2 , and mr. blackburn wants to put a fence diagonally through the field. what should the length of the fence be? round to the nearest tenth.
Rounded to the nearest tenth, the length of thediagonalfence should be approximately 282.8 feet.Let's label the sides of theright-angledtriangle:a and b are the sides of the square field (which are equal because it's a square), and they represent the sides adjacent to the right angle.c is the length of the diagonal fence (the hypotenuse).According to thePythagoreantheorem:a^2 + b^2 = c^2Given that the area of the square field is 40,000 ft², we can find the side length (a or b) of the square using the area formula for a square:a^2 = b^2 =Area of thesquarea^2 = b^2 = 40,000 ft²Now, we'll find a (or b) by taking the square root:a=b= √40,000 ft² = 200 ft²Now, we can calculate thelengthof the diagonal fence (c):c^2= 200 ft² + 200 ft²c^2 = 40,000 + 40,000c^2 =80,000Now, find c by taking thesquareroot:c= √80,000 ≈282.84ftfor such more question ondiagonalbrainly.com/question/23008020#SPJ4...