Perimeter and Area of Rhombi, Trapezoids, and Kites Answers

Kite E F G H is inscribed in a rectangle. Points F and H are midpoints of sides of the rectangle, and creates a side length of x. Lines are drawn from point F to point H and from point E to point G and intersect at a point. Line E G is parallel to a rectangle side. The distance from point F to the intersection is 2, and the distance from H to the intersection is 5.

A kite is shown. Lines are drawn from each point to the opposite point to form a letter t.

A kite is inscribed within a square with a side lengths of 9 units.

The diagonal of a square is x units. What is the area of the square in terms of x?

On a coordinate plane, trapezoid A B C D has points (negative 3, negative 2), (negative 1, 2), (3, 2), and (5, negative 2).

The area of a rhombus is 65 square units. The length of one diagonal is 13 units. What is the length of the other diagonal?

A rhombus with congruent sides is shown. Diagonals are drawn. The length of one diagonal is 6, and the length of the other diagonal is 8. The diagonals intersect to cut the lengths in half.

The area of the trapezoid is 40 square units.

A kite has vertices at (2, 4), (5, 4), (5, 1), and (0, –1).What is the approximate perimeter of the kite? Round to the nearest tenth.

On a coordinate plane, kite W X Y Z has points (1, 1), (3, 4), (5, 1), (3, negative 3).