how would i do this? find the perimeter of a rectangle if three of its verticles are (5,-3),(-3,-2)and(-3,3)
1 answer:
Answer:
Perimeter of rectangle = 2√65 + 10
Step-by-step explanation:
From the attached graph, we can find that:
Points (-3,3) and (-3,-2) represents the width of rectangle.
And points (-3,-2)and (5,-3) represents the length of rectangle.
Now, By using distance formula we can find the length and width of rectangle.
Length = √ ((5-(-3))² + (-3 -(-2))²) = √( 8² + 1²) = √ 65
Width = √((-3 -(-3))²+(-2-3)²) = √(0² + 5²) = 5
so perimeter of rectangle will be:
Perimeter = 2(Length + width)
Perimeter = 2( √65 + 5)
Perimeter = 2√65 + 10
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Answer:
14 days
Step-by-step explanation:
Amount earned by gardener for each day worked = $60
Amount paid by gardener for each day when absent = $15
Total number of days = 20
Let the total number of days when the gardener was working = x
Then he was absent for (20 - x) days.
Total amount earned during this period = $750
Then,
=>
=> \[75x = 1050\]
=> x = 14
So the gardener worked for 14 days out of 20.