Mathematics: A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?

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A pyramid has a square base with an area of 169 ft2.

loganharper992

10.02.2022

52 ft

Step-by-step explanation:

Given that:

We have an pyramid with square base.

Area of base of the square pyramid = 169 ft^2

To find:

Perimeter of the base of pyramid = ?

Solution:

First of all, let us have a look at the formula of area of a square shape.

$Area = Side \times Side$

Let the side be equal to ft.

Putting the given values in the formula:

$169 = a^2\\\Rightarrow a =\sqrt{169}\\\Rightarrow \bold{a = 13\ ft}$

Now, let us have a look at the formula for perimeter of square.

Perimeter of a square shape = 4 $\times$ Side

Perimeter = $4\times 13 = \bold{52\ ft}$

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