Question

What is the area of the trapezoid ABCD ​

Answer 1

Answer: 50

Explanation:

Area of Trapezoid is given as :

`(1)/(2)` ( 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 =
`\sqrt{(x_(2)-x_(1)) ^(2)+(y_(2)-y_(1)) ^(2) }`

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 =
`(1)/(2)` ( 15 + 5) X 5

A =
`(1)/(2)` ( 20 ) X 5

A = 50