Max is drawing plans for a garden, measured in feet, which is shown on the coordinate plane. Max has two vertices of the garden at points (−1, 2) and (−1,−2). At which points should Max have the other two vertices in order to make the area of his garden 20 square feet?
Answer
A
open paren 3 comma negative 2 close paren and open paren 3 comma 2 close paren
B
open paren 4 comma negative 2 close paren and open paren 4 comma 2 close paren
C
open paren 5 comma negative 2 close paren and open paren 5 comma 2 close paren
D
open paren 2 comma negative 2 close paren and open paren 2 comma 2 close paren
Explanation
The two given points form a vertical side of length 2 − (−2) = 4 feet. For a rectangular garden to have area 20 square feet, its width must be 20 ÷ 4 = 5 feet. The points with x-coordinate 4 are 5 feet to the right of x = −1, so the other vertices should be (4, −2) and (4, 2), choice B.
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