Question

question 1 (multiple choice worth 2 points) (area of polygons and composite figures mc) a quilter created the following shape to use in a block for a new quilt. what is the area of the shape for the quilt block? 5 in. 4 in. 4.2 in. 10.6 in. 6 in.

Explanation:

Step1: Divide the shape into rectangles

We can divide the given shape into two rectangles.

Step2: Calculate area of first rectangle

The first rectangle has length $l_1 = 10.6$ in and width $w_1=6$ in. Its area $A_1=l_1\times w_1 = 10.6\times6=63.6$ in².

Step3: Calculate area of second rectangle

The second rectangle has length $l_2 = 5$ in and width $w_2 = 4$ in. Its area $A_2=l_2\times w_2=5\times4 = 20$ in².

Step4: Calculate total area

The total area $A$ of the shape is the sum of the areas of the two rectangles, $A=A_1 + A_2=63.6+20=83.6$ in².

Answer:

$83.6$ in²