Figure ABCDE has vertices A(−3, 3), B(2, 3), C(5, −2), D(0, −3), and E(−3, −2). Plot the points on your own coordinate grid and connect the points in alphabetical order. Decompose Figure ABCDE into rectangles and triangles. Part A: How many triangles and rectangles did you make? (1 point)

Part B: Use Figure ABCDE created on your coordinate grid to find the lengths, in units, of Sides AB and AE. (4 points)

Part C: What is the area of Figure ABCDE? Show your work. (5 points)

Figure ABCDE has vertices A(−3, 3), B(2, 3), C(5, −2), D(0, −3), and E(−3, −2).

To Find : Plot the points  

Decompose Figure ABCDE into rectangles and triangles.

lengths of Sides AB and AE.

area of Figure ABCDE

Solution:

Plot ( x , y)

if x is +ve go right from origin if negative then go left

for y go upward if +ve , in case of -ve go downward

Points plotted and labelled

A(−3, 3), B(2, 3),

length of AB =  5

A(−3, 3) E(−3, −2).

Length of AE = 5

One rectangle and two triangle

area of rectangle  = 5 * 5  = 25 sq units

area of right angle triangle = (1/2) * 5 * 3  = 7.5 sq units

area of another triangle = (1/2) * 8 * 1 = 4 Sq units

Area of figure  = 25 + 7.5 + 4  = 36.5 sq units

Learn More:

locate the points A (1, 2), B( 3, 4) and C

Locate 4x+y=10.find the coordinates of the point where the graph ...

Step-by-step explanation:

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58