The problem asks to find the area of the composite shape shown in Task Card 10. The shape is composed of two rectangles. The dimensions of the first rectangle are 12 in and 5 in. The dimensions of the second rectangle are 4 in and 11 in.

GeometryAreaRectanglesComposite Shapes
2025/4/7

1. Problem Description

The problem asks to find the area of the composite shape shown in Task Card
1

0. The shape is composed of two rectangles. The dimensions of the first rectangle are 12 in and 5 in. The dimensions of the second rectangle are 4 in and 11 in.

2. Solution Steps

First, we find the area of the first rectangle. The area of a rectangle is given by:
Area=length×widthArea = length \times width
For the first rectangle, length=12length = 12 in and width=5width = 5 in. Thus, the area of the first rectangle is:
Area1=12×5=60Area_1 = 12 \times 5 = 60 square inches.
Next, we find the area of the second rectangle. The length is 11 in and the width is 4 in. Thus, the area of the second rectangle is:
Area2=11×4=44Area_2 = 11 \times 4 = 44 square inches.
Finally, we add the areas of the two rectangles to find the total area:
TotalArea=Area1+Area2=60+44=104Total Area = Area_1 + Area_2 = 60 + 44 = 104 square inches.

3. Final Answer

The area of the composite shape is 104 square inches.

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