The perimeter of a regulation singles tennis court is 210 feet and the length is 3 feet less than three times the width. What are the dimensions (in ft) of the court? width length SUBMIT ANSWER
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Let the width be \( w \) feet. According to the problem, the length is \( 3w - 3 \) feet. The perimeter of a rectangle is given by the formula \( P = 2(l + w) \). Therefore, we can set up the equation: \[ 2((3w - 3) + w) = 210 \] Simplifying this, we get: \[ 2(4w - 3) = 210 \] \[ 4w - 3 = 105 \] \[ 4w = 108 \] \[ w = 27 \] Now, substituting \( w \) back into the length equation: \[ l = 3w - 3 = 3(27) - 3 = 81 - 3 = 78 \] So the dimensions of the court are: - Width: 27 ft - Length: 78 ft