Question

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

Answer 1

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.

Answer 2

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

`(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))`m²

the answer is

`A=(64-2x^(2))`m²