Kite efgh is inscribed in a rectangle such that f and h are midpoints and eg is parallel to the side of the rectangle.
which statement describes how the location of segment eg affects the area of efgh?
the area of efgh is one-fourth of the area of the rectangle if e and g are not midpoints.
the area of efgh is one-half of the area of the rectangle only if e and g are midpoints.
the area of efgh is always one-half of the area of the rectangle.
the area of efgh is always one-fourth of the area of the rectangle.

"The area of EFGH is always One-half of the area of the rectangle."

Step-by-step explanation:

Graph is attached.

The kite consists of 2 triangle, EFG and EHG.

The area of EFG:

where h is the height from F to EG

The area of EHG:

where is the height from H to EG

We also know that h + h _1 is the width of the rectangle and EG is the length of the rectangle

Thus,

Area of Kite =

Also, Area of rectangle is rectangle length * rectangle width.

Thus, area of kite is always half of that of rectangle, the third choice is right.

answer: for each 3 girls there is 2 boys . 3: 2

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