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Math Problems: Triangles, Polygons, and Shapes | Area Calculations

Solve various geometry problems involving triangles, trapezoids, circles, squares, hexagons, and rhombuses with given dimensions to find their areas and other related measurements.

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Math Problems: Triangles, Polygons, and Shapes | Area Calculations

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  1. Find the area of the equilateral triangle if one of the sides is 8.

  2. Find the median of a trapezoid with height 6 and area 72

  3. If AE = 8, AC = 14 and BD = 12, find BC

  4. Find the area of a circle inscribed in an equilateral triangle with sides of 30.

  5. Find the area of the given rhombus:

  6. Find QT of ∆PQR

  7. Find the area of an isosceles triangle with a hypotenuse of 18

  8. Find the area of the shaded region if the perimeter of the square is 16.

  9. Find the area of a regular decagon if the side length is 8 and the apothem is 12.3

  10. Find the area of the trapezoid:

  11. Find the area of the shaded region:

  12. Find the area of the given kite:

  13. Find the area of a regular hexagon with a side of 4.

  14. Find the area of a rectangle that has a side length of 9 and a diagonal length of 41.

  15. The ratio of the areas of two similar polygons is 1:16. One of the sides of the smaller polygon is 6, what is the length of the corresponding side of the larger polygon?

  16. Find the area of the right triangle

  17. Find the area of the rhombus

  18. One diagonal of a rhombus is 20 and the area is 460. Find the length of the other diagonal.

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