A park near Raphael's home is shaped like a trapezoid. To find its area, Raphael walked along the short base and measured it. Then he walked at a right angle and measured the distance to the other side of the park. Finally he measured the long distance of the base. Use Raphael's measurements shown below to find the area of the park. Enter your answer in the box.

A = h * (a + b) / 2

Step-by-step explanation:

Raphael measured all the measurements necessary to calculate the area of a trapezoid.

First, the short part that we will call "a", then when he walks at a right angle to the other side would be the height, which we will call "h" and lastly he measured the longest side which we will call "b"

The trapezium has as area:

A = h * (a + b) / 2

Therefore, although the problem does not give the values, it is only to replace the values as shown in the previous formula and it can be solved.

the answer to this question is in the pic

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,