Geometry: Areas of Plane Figures

Triangles

100

Find the area of an isosceles triangle with base 10 and perimeter 36.

60

200

Find the area of an isosceles right triangle with hypotenuse 8.

16

300

DOUBLE POINT QUESTION! 

Find the area of an equilateral triangle with height 9. 

27√3

400

Find the area of a 30/60/90 degree triangle with hypotenuse 10. 

21.7 or 25√3/2

500

Find the area of an equilateral triangle with perimeter 18. 

9√3

Squares & Rectangles

100

Find the area of a square with diagonal 4cm. 

8cm²

200

Find the area of a rectangle with base √2 and diagonal √7

√10

300

The diagonals of a rectangle are 18 cm long and intersect at a 60 degree angle. What is the area? 

81√3 cm²

400

Find the area of a square inscribed in a circle with radius r. 

2r²

500

DOUBLE POINT QUESTION: 

Find the area of a rectangle with length 16 that is inscribed in a circle with radius 10. 

192

Parallelograms &Rhombuses

100

Find the area of a rhombus with diagonals 6 and 8. 

24

200

DOUBLE POINT QUESTION! 

Find the area of a parallelogram with a 45 degree angle and sides 6 and 10. 

30√2

300

Find the area of a rhombus with perimeter 68 and one diagonal 30. 

150√3

400

DOUBLE POINT QUESTION! 

Find the area of a rhombus with a 120 degree angle and sides 6 cm. 

18√3 cm²

500

Find the area of a parallelogram that has side lengths 6 and 9, and a 45 degree angle. 

27√2

Trapezoids

100

A trapezoid has an area of 75cm² and a height of 5cm. How long is the median? 

15 cm. 

200

A trapezoid has base lengths 8 and 18 and 45 degree base angles. What is the area? 

65

300

DOUBLE POINT QUESTION! 

An isosceles trapezoid has bases 12 and 28. The area is 300. Find the height and the perimeter. 

15, 74

400

A trapezoid has base lengths of 12 and 30, and base angles of 30 degrees. Find the area. 

63√3

500

DOUBLE POINT QUESTION! 

The legs of an isosceles trapezoid are 10cm. The bases are 9cm and 21 cm. Find the area of the trapezoid. 

120 cm²

Regular Polygons

100

DOUBLE POINT QUESTION! 

Find the area of a square with side 6√3.

108

200

DOUBLE POINT QUESTION! 

Find the area of an equilateral triangle with perimeter 24 cm. 

16√3 cm^2

300

Find the area of a regular hexagon with perimeter 24 

24√3

400

Find the area of a hexagon with radius 8. 

96√3

500

Find the area of a regular hexagon with perimeter 24√3.

72√3