Answer:
The area of the figure is 7.5 .
Step-by-step explanation:
In order to make the calculation process easier, you can cut the shape into a trapezoid and a triangle. The triangle's base has a length of 3 units and a height of 2 units, so its area is 3 . The top base of the trapezoid has a length of 1 unit, the bottom base of the trapezoid has a length of 2 units, and the trapezoid has a height of 3 units, so the area of the trapezoid is 4.5 units. To find the area of the shape, add the areas of the trapezoid and the triangle together, which is 3 + 4 .5 = 7.5
Answer:
5 units
Step-by-step explanation:
Let point O be the point of intersection of the kite diagonals.
|OF| = 2, |OH| = 5
|FH| = |OF| + |OH| = 2 + 5 = 7
FH and EG are the diagonals of the kite. Hence the area of thee kite is:
Area of kite EFGH = (FH * EG) / 2
Substituting:
35 = (7 * |EG|) / 2
|EG| * 7 = 70
|EG| = 10 units
The longer diagonal of a kite bisects the shorter one, therefore |GO| = |EO| = 10 / 2 = 5 units
x = |GO| = |EO| = 5 units
