Answer:
D is the answer
Step-by-step explanation:
The explenation is shown on the picture above.
The area of the polygon is 25.5 square units
<h3>How to determine the area of the polygon?</h3>
From the figure, we have the following coordinates
A = (-2, 1)
B = (3, 2)
C = (5, -3)
D = (-1, -3)
The area of the polygon is then calculated as:
A = 0.5 * |(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y4 - x4y3) + (x4y1 - x1y4)|
Substitute the known values in the above equation
Area = 0.5 * |(-2 * 2 - 3 * 1) + (3 * -3 - 5 * 2) + (5 * -3 + 1 * -3) + (-1 * 1 + 2 * -3)|
Evaluate the sum of products
Area = 0.5 * |-51|
Remove the absolute bracket
Area = 0.5 * 51
Evaluate the product
Area = 25.5
Hence, the area of the polygon is 25.5 square units
Read more about areas at:
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Answer:
Number of days taken by 1 man alone and 1 boy alone are 35 days and 70 days respectively.
Step-by-step explanation:
Let, the work completed by 1 man in 1 day = x and the work completed by 1 boy in 1 day = y.
So, 4 men and 6 boy's 1 day work is
and 
And, 3 men and 4 boy's 1 day work is
and 
Since, 4 men and 6 boys complete the work in 5 days and 3 men and 4 boys complete the work in 7 days.
So, we have,


Let,
and 
So, the equations are,
................(1)
................(2)
Multiply (1) by 3 and (2) by 4 and subtract the equations, we get,
i.e.
i.e.
i.e. y = 70.
Substitute value of 'v' in (1) gives,
i.e.
i.e.
i.e.
i.e.
i.e.
i.e. x = 35
So, the number of days taken by 1 men alone and 1 boy alone are 35 days and 70 days respectively.
Answer:
chicken feet
Step-by-step explanation: