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rodikova [14]
3 years ago
7

6 ft

Mathematics
2 answers:
Doss [256]3 years ago
6 0
See the picture attached to this answer.

777dan777 [17]3 years ago
6 0

Answer:

42\text{ ft}^2

Step-by-step explanation:

We have been given an image of a composite figure and we are asked to find the carpet needed to cover the hole.

We will divide our given figure in 3 parts as shown in the attachment.

The area of our composite figure will be equal to area of a trapezoid plus area of rectangle plus are of triangle.

\text{Area of rectangle}=7\text{ ft}\times 3\text{ ft}

\text{Area of rectangle}=21\text{ ft}^2

\text{Area of trapezoid}=\frac{6\text{ ft}+3\text{ ft}}{2}\times 4\text{ ft}

\text{Area of trapezoid}=9\text{ ft}\times 2\text{ ft}

\text{Area of trapezoid}=18\text{ ft}^2

\text{Area of triangle}=\frac{2\text{ ft}\times 3\text{ ft}}{2}

\text{Area of triangle}=3\text{ ft}^2

\text{Total area of composite figure}=21\text{ ft}^2+18\text{ ft}^2+3\text{ ft}^2

\text{Total area of composite figure}=42\text{ ft}^2

Therefore, the total area of the composite figure is 42 square feet.

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