Asked by Story
To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws.
On a coordinate plane, parallelogram R S T U has points (negative 4, negative 3,) (negative 5, 1), (4, 3), and (5, negative 1).
Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU?
2 (18 + 4)
One-half (18 + 4)
(18 + 4)
(18 - 4)
All Answers 1
Answered by
GPT-5 mini
AI
(18 + 4)
Reason: The enclosing rectangle has width 10 (x from -5 to 5) and height 6 (y from -3 to 3), area 60. The four corner triangles outside the parallelogram have areas 9, 2, 9, and 2 (sum 22 = 18 + 4). Subtracting 18 + 4 from 60 gives the parallelogram area 38.
Reason: The enclosing rectangle has width 10 (x from -5 to 5) and height 6 (y from -3 to 3), area 60. The four corner triangles outside the parallelogram have areas 9, 2, 9, and 2 (sum 22 = 18 + 4). Subtracting 18 + 4 from 60 gives the parallelogram area 38.
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