Question

A clothing designer makes letters for varsity jacket by graphing the letters as polygons on a coordinate plane one of the letters is polygon are A(3,-2),B(3,-4)C(-3,-4)D(-3,4)E(-1,4)and F(-1,-2)Each grid unit represents one inch graph the points on the coordinate plane and connect them in order identify the letter formed the find its area emample 2

Answer 1

Answer:

• 1. Find attached the graph with the points connected forming the letter L (it is the first graph)

• 2. The area of the letter is 24in².

Explanation:

1. Graph.

To graph the points you use a coordinate plane with marks on the x-axis and y-axis distanced 1 unit (equivalent to 1 inch(.

For instance, for the point A (3, 2) the x-coordinate is 3, and the y-coordinate is 2. Thus, to draw the point, you move 3 units to the right of the origin of the coordinate plane (x = 3) and 2 units upward (y = 2). There you draw the point A.

After you do the same with the other points, B, C, D, E, y F, and connect them you realize that the letter L is formed.

Now you can calculate the area.

2. Area

To calculate the area you can split the figure in two rectangles. That is shown in the second figure attached.

Auxiliary point X and segment FX have been added in this second figure to help identify the two rectangles.

The area of the rectangle CDEX is 2in × 8in = 16in².

The area of the rectangle ABXF is 4 in × 2 in = 8 in².

Thus, the area of the letter is 16in² + 8in² = 24in²