Simone is designing a deck to add to a house. Her plans have the rectangular deck graphed with corners at (−3,1) , (3,1) , (3,6) , and (−3,6) . What is the area of the deck?(1 point) Responses 15 sq. ft. 15 sq. ft. 36 sq. ft. 36 sq. ft. 30 sq. ft. 30 sq. ft. 22 sq. ft
Question
Simone is designing a deck to add to a house. Her plans have the rectangular deck graphed with corners at (−3,1) , (3,1) , (3,6) , and (−3,6) . What is the area of the deck?(1 point) Responses 15 sq. ft. 15 sq. ft. 36 sq. ft. 36 sq. ft. 30 sq. ft. 30 sq. ft. 22 sq. ft
Solution
The area of a rectangle is calculated by multiplying the length by the width.
Looking at the coordinates given, we can determine the length and width of the rectangle.
The length is the difference in the y-coordinates (6 - 1 = 5) and the width is the difference in the x-coordinates (3 - (-3) = 6).
So, the area of the deck is 5 * 6 = 30 sq. ft.
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