Question

Rectangle
A
B
C
D
ABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle:
A
(
3
,
−
2
)
A(3,−2)A, left parenthesis, 3, comma, minus, 2, right parenthesis,
B
(
6
,
−
2
)
B(6,−2)B, left parenthesis, 6, comma, minus, 2, right parenthesis,
C
(
6
,
5
)
C(6,5)C, left parenthesis, 6, comma, 5, right parenthesis, and
D
(
3
,
5
)
D(3,5)D, left parenthesis, 3, comma, 5, right parenthesis.
What is the area of rectangle ABCD?

Answer 1

Answer:

  21 square units

Step-by-step explanation:

The sides of the rectangle are aligned with the coordinate grid, so we can easily find its dimensions.

AB lies on the line y = -2, so the horizontal extent is the difference in x-values:

  6 - 3 = 3

BC lies on the line x = 6, so the vertical extent is the difference in y-values:

  5 -(-2) = 7

The area is the product of these two dimensions:

  A = LW = (7)(3) = 21 . . . . square units

The area of the rectangle is 21 square units.