The surface area of tent is: 95 ft^2
Step-by-step explanation:
Emma's tent will form a square pyramid shape with four triangular sides and one square base.
Given
Height of each triangle = h = 7 feet
Base = b = 5 feet
So,
First we will calculate the area of one triangle
[tex]SA_T = \frac{1}{2} * b * h\\=\frac{1}{2} * 5 * 7\\=\frac{35}{2}\\=17.5\ ft^2[/tex]
As there are four triangular sides,
Surface area of 44 triangular sides = [tex]4 * SA_T[/tex]
[tex]= 4*17.5\\=70\ ft^2[/tex]
Surface area of square base will be:
[tex]SA_B = b * b\\= 5 * 5\\= 25\ ft^2[/tex]
So,
[tex]Total\ surface\ area = 4SA_T + SA_B\\= 70 + 25\\= 95\ ft^2[/tex]
Hence,
The surface area of tent is: 95 ft^2
Keywords: Surface area, triangles
Learn more about surface area at:
- brainly.com/question/1859222
- brainly.com/question/1993757
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