Step-by-step explanation:
To figure out your x-intercepts and y-intercepts you have to redo the equation and make it equal to zero.
Step 1: 8x + 9y - 72 = 0
Step 2: 8x + 9y = 72
Now you can figure out your intercepts! As long as you use the STANDARD FORM EQUATION which is Ax + By = C
Y-INTERCEPT (vertical line): ( 
, 0 )
X-INTERCEPT (horizontal line): ( 0 , 
)
Insert your numbers how it shows in the standard form equation and you should get something like this:
Y-INTERCEPT: ( 
, 0 )
<em>Simplified Y-INTERCEPT: </em>( 8 , 0 )
X-INTERCEPT: ( 0 , 
)
<em>Simplified X-INTERCEPT: </em><em> ( 0 , 9 )</em>
<em />
Insert that into your graph and you should be able to get your answer.
Let
x----------> the length of the rectangle
y---------> the width of the rectangle
we know that
perimeter of rectangle=2*[x+y]
area of rectangle=x*y
P=81 ft
so
81=2*[x+y]-----------> 40.5=[x+y]
case <span>A) 20.25 feet × 20.25 feet
P=2*[20.25+20.25]-----> 81 ft----------> the perimeter is ok
A=20.25*20.25-----> 410.06 ft</span>²
case <span>B) 11 feet × 29.5 feet
</span>P=2*[11+29.5]-----> 81 ft----------> the perimeter is ok
A=11*29.5-----> 324.5 ft²
case <span>C) 9 feet × 9 feet
</span>P=2*[9+9]-----> 36 ft----------> the perimeter is not 81
A=9*9-----> 81 ft²
case <span>D) 17.5 feet × 23 feet
</span>P=2*[17.5+23]-----> 81 ft----------> the perimeter is ok
A=17.5*23-----> 402.5 ft²
the answer is
case A) 20.25 feet × 20.25 feet
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