Question

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Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-4, -2)A(−4,−2)A, left parenthesis, minus, 4, comma, minus, 2, right parenthesis, B(-2, -2)B(−2,−2)B, left parenthesis, minus, 2, comma, minus, 2, right parenthesis, C(-2, 7)C(−2,7)C, left parenthesis, minus, 2, comma, 7, right parenthesis, and D(-4, 7)D(−4,7)D, left parenthesis, minus, 4, comma, 7, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D?
square units

Answer 1

The  area of the rectangle is given by the product of length and the

width of the rectangle.

Response:

• The area of the rectangle is 18 units²

How can the area of the rectangle plotted on a graph be found?

The coordinates of the vertices of rectangle ABCD are;

A(-4, -2), B(-2, -2), C(-2, 7), and D(-4, 7)

Required:

The area of rectangle ABCD

Solution:

The distance between sides that have the same x or y coordinates are

given by the difference between the other coordinates, as follows;

Length of AB = -2 - (-4) = 2

Length of BC = 7 - (-2) = 9

Length of CD = -2 - (-4) = 2

Length of AD = 7 - (-2) = 9

Therefore;

Length of the rectangle = 9 units

Width of the rectangle = 2 units

The area of a rectangle = Length × Width

The area, A, of the rectangle is therefore;

A = 9 units × 2 units = 18 units²

Learn more about the area of geometric shapes here:

https://brainly.com/question/6978405

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Answer 2

Answer:

18

Step-by-step explanation: