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Corners of equal size are cut from a square with sides of length 8 meters (see figure).

Write the area A of the resulting figure as a function of x

Corners of equal size are cut from a square with sides of length 8 meters see figure Write the area A of the resulting figure as a function of x class=

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HomertheGenius
The area ( A ) of the resulting figure:
A = s² - 4 · x²/2 
A = 8² - x² / 2
A = 64 - x²/2
Answer:
The area is 64 - x² / 2.
calculista

we know that

the area of the complete square is equal to

[tex] As=b^{2} [/tex]

where

b is the length side of the square

[tex] b=8m [/tex]

so

[tex] As=8^{2} [/tex]

[tex] As=64[/tex]m²


the area of one corner is equal to the area of a triangle


[tex] \frac{x^{2}}{2} [/tex]

so

the area of [tex] 4 [/tex] corners is equal to

[tex] \frac{x^{2}}{2}*4=2x^{2} [/tex]


the area A of the resulting figure as a function of x is equal to

area of the square minus the area of [tex] 4 [/tex] corners

[tex] A=(64-2x^{2}) [/tex]m²


the answer is

[tex] A=(64-2x^{2}) [/tex]m²

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