nits of Length Dom and Amad are playing catch on a grassy field. The field is rectangular in shape. Dom says he knows that it has a perimeter of 48 yards. Jack says he knows that it has a width of 24 feet. What is the length of the field in feet?
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To find the length of the field in feet, we first need to express the perimeter of the rectangular field in feet. The perimeter is given by the formula \( P = 2(\text{length} + \text{width}) \). Since the perimeter is 48 yards, we convert it to feet (1 yard = 3 feet), giving us a perimeter of \( 48 \times 3 = 144 \) feet. Now, with the width known to be 24 feet, we can substitute it into the perimeter formula: \[ 144 = 2(\text{length} + 24) \] Dividing both sides by 2 gives us: \[ 72 = \text{length} + 24 \] Subtracting 24 from both sides, we find: \[ \text{length} = 72 - 24 = 48 \text{ feet} \] So, the length of the field is 48 feet.
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