Area of Triangle, Parallelograms, Trapezoids Date ______Per

Geometry Pre-AP Name

Area of Triangle, Parallelograms, Trapezoids Date ______Per:

Find the area of each figure. All answers for problems using special right triangles should be in simplest radical form. Problems requiring a trig function calculation should be rounded to the nearest thousandth.

Find the area of an equilateral triangle ABC with the side length:

18. 11 cm 19. 20.

Find the area of parallelogram ABCD.

21.

22.

Find the area of triangle ABC.

23.

24.

Complete on your own paper. Draw and label diagram for all problems.

25.  Find the area of an equilateral triangle with a perimeter of 18.

26.  Find the perimeter of an equilateral triangle with an area of .

27.  Find the 2nd base of a trapezoid with a base of 3, a height of 40 and an area of 260.

28.  Find the 2nd base of a trapezoid with a base of 28, a height of 14 and an area of 364.

29.  Find the area of a rhombus with diagonals 7.4 cm and 4.3 cm.

30.  Find the area of a rhombus with diagonals and .

31.  The area of a rhombus is 2352 sq. in. and a diagonal length is 56 in. How long is the other diagonal?

32.  Find the area of an isosceles trapezoid with legs 13 and bases 10 & 20.

33.  Find the area of an isosceles trapezoid with bases 8 & 18 and base angles .

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

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

36.  Find the area and perimeter of an isosceles triangle with a vertex angle and a base of 8cm.

37.  Find the area of a parallelogram with base and corresponding height of .

38.  Find the area of an isosceles triangle with sides 10, 10 and 16.

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

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

41.  Find the area of an equilateral triangle with altitude 9.

42.  A trapezoid has bases 15 & 9 and height 7. Find its median and its area.

43.  A trapezoid has median 16 and height 4.8. Find the area.

44.  Find the length of the side of a square that has area equal to that of a rhombus with diagonals 9 and 8.

45.  The bases of two triangles are the same length. The altitude of the first triangle is 5 cm and the area of the second triangle is 3 times the area of the first. What is the altitude of the second triangle?

46.  If the base and altitude of a triangle are doubled, what happens to the area of the triangle?

47.  Find the area of an equilateral triangle with side length 6.

48.  A triangle and a parallelogram each have an area of 64 and a height of 4. How do their bases compare?

49.  Find the cost of putting siding on a triangular region of the house to the right if siding cost 90 cents per square foot.

50.  The width of a rectangular playing field is 60 yards. The area of the field is 7200 sq. yards. How far is it diagonally across the field?

51.  The ratio of the height of a wall to the length of the wall is 2:3. The area of the wall is 384 sq. ft. What are the height and length of the wall?

52.  A fence was relocated to change the area of a rectangular field. The new length of the field is the old length, l, increased by 6. The new width is 6 less than that of the old length. If the area of the new field is 108, what is length and width?

53.  Find the area of the rectangle whose length is 3 times its width and its perimeter is 32 feet.

54.  The length of a rectangle is 6 more than its width. Find the area if the perimeter is 80 yards.

55.  Find the area of a rhombus with perimeter 52 and one diagonal 6.

56.  Find the area of the hexagon.

57.  Find the area of Rhombus QSRT if and the length of the shorter diagonal is 6.