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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-example-1
User Eli Blokh
by
7.5k points

2 Answers

3 votes
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.
User Claasic
by
7.1k points
3 votes

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


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



(x^(2))/(2)

so

the area of
4 corners is equal to


(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))


the answer is


A=(64-2x^(2))

User Tobiq
by
7.9k points

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