Respuesta :
Answer:
The surface area of the ten t including the floor is 52.8 m².
Step-by-step explanation:
We are given that,
Shaun's tent consists of 3 rectangles and 2 triangles.
1. The dimensions of the rectangles are 5 × 3 meters.
Since, Area of the rectangle = Length × Width
i.e. Area of 3 rectangles = 3 × Length × Width
i.e. Area of 3 rectangles = 3 × 5 × 3 = 45 m²
Thus, area of the 3 rectangles is 45 m².
2. The dimensions of the triangles are base= 3 meter and height= 2.6 meter
As, Area of the triangle = [tex]\frac{1}{2}\times Base\times Height[/tex]
i.e. Area of 2 triangles = [tex]2\times \frac{1}{2}\times Base\times Height[/tex]
i.e. Area of 2 triangles = [tex]Base\times Height[/tex]
i.e. Area of 2 triangles = [tex]3\times 2.6[/tex]
i.e. Area of 2 triangles = 7.8 m²
Thus, area of 2 triangles is 7.8 m².
So, the total surface area of the prism = Area of rectangles + Area of triangles
i.e. Total surface area = 45 + 7.8 = 52.8 m²
Hence, the surface area of the ten t including the floor is 52.8 m².
The surface area of the tent including the floor is 52.8 m².
What is the surface area?
The surface area of an object is the total area of the outside surfaces of the three-dimensional object i.e, the total sum of the area of the faces of the object. It is measured in terms of square units.
Shaun's tent consists of 3 rectangles and 2 triangles.
The dimensions of the rectangles are 5 × 3 meters.
Area of the rectangle = Length × Width
Area of 3 rectangles = 3 × Length × Width
Area of 3 rectangles = 3 × 5 × 3 = 45 m²
Thus, the area of the 3 rectangles is 45 m².
The dimensions of the triangles are a base of 3 meters and a height of 2.6 meters.
[tex]\rm Area \ of \ trinagle= 2 \times \dfrac{1}{2} \times base \times height\\\\ Area \ of \ trinagle= 3\times 2.6\\\\ Area \ of \ trinagle= 7.8[/tex]
The surface area, including the floor, of his tent, is;
The total surface area of the prism = Area of rectangles + Area of triangles
Total surface area = 45 + 7.8 = 52.8 m²
Hence, the surface area of the tent including the floor is 52.8 m².
To know more about the surface area click the link given below.
https://brainly.com/question/9930431
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