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GOOD AT MATH? HELP ME!!?

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The perimeter of a basketball court is 266 feet, and it's length is 35 feet more than it's width.What are the dimensions?

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  1. okay, first calm down. this is a pretty straightforward problem. If P = 266 feet, then you know the formula for calculating the perimeter right? P = 2L + 2W = 2(length) + 2(width). So if the length is 35 more than the width, then you know that L = 35 + W. So now plug it back into the original equation for the perimeter. So, P = 2(35 + W) + 2W = 266.

    Solve for W, which is 49 feet. Since L = 35 + W, L = 84 feet


  2. x +   X+35   + x    + x+35   so     4x + 70  =266    4x  =  266 -  70          so 4x =  196      divide  by 4     get x   then add 35  for length

  3. 266 = 2l + 2w

    length = w + 35

    therefore,

    l = w + 35

    and 266 = 2(w+35) + 2w

    266 = 2w + 70 + 2w

    266 = 4w + 70

    196 = 4w

    w = 49 feet

    and because length = width + 35,

    length = 49 + 35

    = 84 feet

    so width is 49 feet and length is 84 feet.

    To check, 2l + 2w should equal 266.

    2(84) + 2 (49) = 266

    and it does.

  4. Let x=the width, x+35= length

    Perimeter: 2x+2(x+35)=266

                    2x+2x+70=266

                           4x=196

                             x=49

                            x+35=84

                        84 by 49


  5. length = 84ft

    width = 49ft


  6. Width (x):

    2(x + x + 35) = 266

    x + x + 35 = 133

    2x = 98

    x =  49

    Length:

    = 49 + 35

    = 84

    Answer: 49 by 84 feet is the dimension. The length, 84 feet, is 35 feet more than the width.

    Checking perimeter of 266 feet:

    = 2(49 feet) + 2(84 feet)

    = 98 feet + 168 feet

    = 266 feet

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