Question

Emma is going camping.

Answer 1

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

$SA_T = \frac{1}{2} * b * h\\=\frac{1}{2} * 5 * 7\\=\frac{35}{2}\\=17.5\ ft^2$

As there are four triangular sides,

Surface area of 44 triangular sides = $4 * SA_T$

$= 4*17.5\\=70\ ft^2$

Surface area of square base will be:

$SA_B = b * b\\= 5 * 5\\= 25\ ft^2$

So,

$Total\ surface\ area = 4SA_T + SA_B\\= 70 + 25\\= 95\ ft^2$

Hence,

The surface area of tent is: 95 ft^2

Keywords: Surface area, triangles

Learn more about surface area at:

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