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Rectangle
ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
A(-8,3),B(-3,3),C(-3,6), and
D(-8,6).
What is the area of rectangle
ABCD ?

◻ square units

Rectangle $A B C D$ is graphed in the coordinate plane. The following are the vertices of the rectangle: $A(-8,3), B(-3,3), C(-3,6)$ , and $D(-8,6)$ . $\newline$ What is the area of rectangle $A B C D$ ? $\newline$ $\square$ square units

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Find Coordinate on Unit Circle

Full solution

Q. Rectangle

A B C D

is graphed in the coordinate plane. The following are the vertices of the rectangle:

A(-8,3), B(-3,3), C(-3,6)

, and

D(-8,6)

.

\newline

What is the area of rectangle

A B C D

?

\newline

\square

square units

Identify sides of rectangle: Identify the lengths of the sides of the rectangle using the coordinates of the vertices. $\newline$ Calculate the length of side AB by using the coordinates of A and B. $\newline$ Length $AB = |x_2 - x_1| = |-3 - (-8)| = 5$ .
Calculate length AB: Calculate the length of side BC using the coordinates of B and C. $\newline$ Length BC = $|y_2 - y_1| = |6 - 3| = 3$ .
Calculate length BC: Calculate the area of the rectangle using the lengths of its sides. $\newline$ Area = Length $AB \times$ Length $BC = 5 \times 3 = 15$ .

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