Area of Composite Figures — Unit test Answers

3 shapes are combined to form a composite figure. A semicircle is on the bottom, and then a small rectangle connects the semicircle to a triangle.

An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm.

A trapezoid, square, and semicircle are connected to form a composite figure. Trapezoid M D C K has base lengths of 8 millimeters and 4 millimeters. Square A B C D has side lengths of 2 millimeters. Line A B is the diameter of the semicircle and has a length of 4 millimeters.

The area of the regular pentagon is 6.9 cm2.

The regular hexagon has a radius of 4 in.

A regular pentagon is shown.

A circle is shown. 4 radii are drawn. Chords are drawn to connect the radii points on the circle to form 2 triangles. The triangles have base lengths of 6 centimeters and the other 2 sides have lengths of 5 centimeters. The distance between the base of the triangle to the outline of the circle is 1 centimeter. Everything around the triangles is shaded.

A composite figure is comprised of a square, trapezoid, and a rectangle. The square has side lengths of 10 centimeters. The trapezoid has base lengths of 8 centimeters and 14 centimeters. The height of the trapezoid is 4 centimeters. The rectangle has side lengths of 20 centimeters and 6 centimeters.

3 semicircles are connected to 3 sides of a square. Each side of the square measures 4 centimeters.

A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimeters. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters.

Four circles, each with a radius of 2 inches, are removed from a square.

A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.

A circle is inscribed in a regular hexagon with side length 10 feet. What is the area of the shaded region?

A rectangular pool has side lengths of 12 yards and 6 yards. An octagon is drawn around the pool. The octagon has 2 sides with lengths 12 yards, and 6 sides with lengths 6 yards. The area between the rectangle and the octagon is shaded.

A square has an apothem measuring 2.5 cm and a perimeter of 20 cm.What is the area of the square, rounded to the nearest square centimeter?

A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles.

A semicircle with a diameter of 8 meters is shown. A smaller semicircle with a diameter of 4 meters is cut out of the larger semicircle. A rectangle with side lengths of 2 meters and 5 meters is connected to the semicircle.

Fiona must find the length indicated by the dotted line for the tiles she is installing. She knows that each polygon is a regular hexagon with a perimeter of 7.5 in.

A regular octagon has a radius of 6 ft and a side length of 4.6 ft.

A regular hexagon is shown.