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7 A rectangular patio is represented by the vertices (4,8),(-6,8),(-6,-5), (4,-5), where each unit represents a foot. What is the area of the patio? (A) 24 square feet (B) 32 square feet C) 48 square feet (D) 130 square feet

77 A rectangular patio is represented by the vertices (4,8),(−6,8),(−6,−5) (4,8),(-6,8),(-6,-5) , (4,−5) (4,-5) , where each unit represents a foot.\newlineWhat is the area of the patio?\newline(A) 2424 square feet\newline(B) 3232 square feet\newlineC) 4848 square feet\newline(D) 130130 square feet

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Q. 77 A rectangular patio is represented by the vertices (4,8),(−6,8),(−6,−5) (4,8),(-6,8),(-6,-5) , (4,−5) (4,-5) , where each unit represents a foot.\newlineWhat is the area of the patio?\newline(A) 2424 square feet\newline(B) 3232 square feet\newlineC) 4848 square feet\newline(D) 130130 square feet
  1. Calculate Length: Find the length of one side of the rectangle by calculating the distance between two vertices on the same side.\newlineLength = distance between (4,8)(4,8) and (−6,8)(-6,8) = ∣−6−4∣=10|-6 - 4| = 10 feet.
  2. Calculate Width: Find the width of the rectangle by calculating the distance between two vertices on the same side.\newlineWidth = distance between (4,8)(4,8) and (4,−5)(4,-5) = ∣8−(−5)∣=13|8 - (-5)| = 13 feet.
  3. Calculate Area: Calculate the area of the rectangle using the formula Area=Length×Width\text{Area} = \text{Length} \times \text{Width}.Area=10 feet×13 feet=130 square feet\text{Area} = 10 \, \text{feet} \times 13 \, \text{feet} = 130 \, \text{square feet}.

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