Answer: 50
Step-by-step explanation:
Area of Trapezoid is given as :
[tex]\frac{1}{2}[/tex] ( sum of the parallel sides) X height
We need to get the height ,and the parallel sides.
To calculate the height , all we need to do is to find the distance between the points A(-2,2) and B(2,5) using the formula for calculating distance which iis given by:
D = [tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]
Substituting the values , h = 5
Also to find the first parallel side BC , we will apply the same formula and this will give 15 , doing the same to find the second parallel side , we have 5. Substituting the values into the formula for finding area of Trapezoid , we have:
A = [tex]\frac{1}{2}[/tex] ( 15 + 5) X 5
A = [tex]\frac{1}{2}[/tex] ( 20 ) X 5
A = 50
