Question
Download Solution PDFA rectangular field is to be fenced on three sides leaving one side measuring 20 feet uncovered by fencing. If the area of the field is 680 sq ft, how many feet of fencing is required?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
One side of the field (unfenced side) = 20 feet
Area of the field = 68 sq ft
Formula Used:
Area of a rectangle = length × width
Perimeter of the fenced sides = 2 × width + length
Calculation:
Let the length be 20 feet (unfenced side) and width be W feet.
Area = length × width
⇒ 680 = 20 × W
⇒ W = 680 / 20
⇒ W = 34 feet
Perimeter of the fenced sides = 2 × width + length
⇒ Perimeter = 2 × 34 + 20
⇒ Perimeter = 68 + 20
⇒ Perimeter = 88 feet
∴ The corrcet answer is option 4.
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