Pablo wants to replace a glass window in his restaurant. The window is in the shape of a square. Its side lengths are 8 feet. Suppose glass costs $6 for each square foot. How much will the glass cost to replace the window?

Respuesta :

$384

Explanation

Step 1

find the area of the glass

the area of a square is given by:

[tex]\text{Area}=Side^2[/tex]

Let

side=8 ft

replace

[tex]\begin{gathered} \text{Area}=Side^2 \\ \text{Area}=(8ft)^2 \\ \text{Area}=64\text{ square f}eet \end{gathered}[/tex]

Step 2

to find the total cost, multiplied the area by the unit price

[tex]\text{total cost= area}\cdot unit\text{ rate}[/tex]

Let

area= 64 square feet

unit rate=6 dollars/ square foot

replace

[tex]\begin{gathered} \text{total cost= area}\cdot unit\text{ rate} \\ \text{total cost= 6}4ft^2\cdot6\frac{dolars}{ft^2} \\ \text{total cost=384 dollars} \end{gathered}[/tex]

so, the answer is $384

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