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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=

Verified Answer :

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

\(As=b^{2}\)

where

b is the length side of the square

\(b=8m\)

so

\(As=8^{2}\)

\(As=64\)m²


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


\(\frac{x^{2}}{2}\)

so

the area of \(4\) corners is equal to

\(\frac{x^{2}}{2}*4=2x^{2}\)


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

area of the square minus the area of \(4\) corners

\(A=(64-2x^{2})\)m²


the answer is

\(A=(64-2x^{2})\)m²

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