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Stefani is making a square quilt with a side length of x + 2 feet. If the quilt will have an area of 36 feet, what is the value of x?

Respuesta :

Answer:

The value of x is 4

Step-by-step explanation:

Mathematically, we can calculate the area of the quilt by having the product of the side of the quilt by itself

Mathematically, the area of the quilt = L^2

This is (x + 2) * (x + 2)

This product is equal to 36 feet square

Thus;

(x + 2)^2 = 36

(x + 2)^2 = 6^2

Since the powers are equal, we equate the bases

x + 2 = 6

x = 6-2

x = 4