Answer:
<em>The area of the triangle DEF is 10.</em>
Step-by-step explanation:
<u>Area of a Triangle:</u>
A triangle of base B and height H (both must be perpendicular) has an area of:

The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.
This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:
B=3-(-2)=3+2=5
Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.
H=2-(-2)=4
With these two values, we calculate the area:

The area of the triangle DEF is 10.
The number of days is 10 if, in a poultry farm, 50 hens give 200 eggs in 2 days.
<h3>What is a fraction?</h3>
Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
On a poultry farm, 50 hens give 200 eggs in 2 days.
It is required to find the number of days will 20 hens require to give 400 eggs:
Let x be the number of days:
(50×2)/200 = (20x)/400
x = 10
Thus, the number of days is 10 if, in a poultry farm, 50 hens give 200 eggs in 2 days.
Learn more about the fraction here:
brainly.com/question/1301963
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Answer
Definition of right angles