Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 6001 | Find the long base $ a $ of a trapezoid if long base $a = 72\, \text{in}$, side $c = 72\, \text{in}$, angle $\alpha = 71.5^o$ and angle $\beta = 108.5^o$. | 2 |
| 6002 | Find the long base $ a $ of a trapezoid if long base $a = 6700\, \text{mm}$, side $c = 60\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 6003 | Find the area $ A $ of a trapezoid if long base $a = 63\, \text{m}$, short base $b = 49\, \text{m}$ and angle $\alpha = 72^o$. | 2 |
| 6004 | Find the angle $ \alpha $ of a trapezoid if long base $a = 80\, \text{mm}$, short base $b = 60\, \text{mm}$ and height $h = 6\, \text{mm}$. | 2 |
| 6005 | Find the height $ h $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 11\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 6006 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 11.5\, \text{in}$ and height $h = 11.25\, \text{in}$. | 2 |
| 6007 | Find the long base $ a $ of a trapezoid if short base $b = 11.5\, \text{in}$, height $h = 11.25\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 6008 | Find the long base $ a $ of a trapezoid if short base $b = 11.5\, \text{in}$, height $h = 11.25\, \text{in}$ and angle $\alpha = 60^o$. | 2 |
| 6009 | Find the long base $ a $ of a trapezoid if long base $a = 404.6\, \text{mm}$, short base $b = 161.3\, \text{mm}$ and height $h = 38.445\, \text{m}$. | 2 |
| 6010 | Find the angle $ \alpha $ of a trapezoid if long base $a = 404.6\, \text{mm}$, short base $b = 161.3\, \text{mm}$ and height $h = 38.445\, \text{m}$. | 2 |
| 6011 | Find the angle $ \alpha $ of a trapezoid if long base $a = 404.6\, \text{mm}$, short base $b = 161.3\, \text{mm}$ and height $h = 38.455\, \text{m}$. | 2 |
| 6012 | Find the long base $ a $ of a trapezoid if long base $a = 92.43\, \text{km}$, short base $b = 85.9\, \text{cm}$ and side $c = 18\, \text{cm}$. | 2 |
| 6013 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 0.6\, \text{m}$ and angle $\alpha = 71.5651^o$. | 2 |
| 6014 | Find the area $ A $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 8.4\, \text{m}$ and height $h = 9.6\, \text{m}$. | 2 |
| 6015 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 0.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 2 |
| 6016 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 3.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 2 |
| 6017 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 4.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 2 |
| 6018 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 6.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 2 |
| 6019 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 8.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 2 |
| 6020 | Find the area $ A $ of a trapezoid if long base $a = 1.45\, \text{m}$, short base $b = 3.9\, \text{m}$ and height $h = 22.8\, \text{m}$. | 2 |
| 6021 | Find the area $ A $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 3.9\, \text{m}$ and height $h = 22.8\, \text{m}$. | 2 |
| 6022 | Find the angle $ \alpha $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 3.9\, \text{m}$ and height $h = 22.8\, \text{m}$. | 2 |
| 6023 | Find the angle $ \alpha $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 3.9\, \text{m}$ and angle $\alpha = 76.9137^o$. | 2 |
| 6024 | Find the long base $ a $ of a trapezoid if short base $b = 9\, \text{mm}$ and height $h = 14.8\, \text{mm}$. | 2 |
| 6025 | Find the short base $ b $ of a trapezoid if long base $a = 33\, \text{m}$, height $h = 1.3\, \text{m}$ and angle $\alpha = 18.43^o$. | 2 |
| 6026 | Find the side $ c $ of a trapezoid if long base $a = 2590\, \text{mm}$, short base $b = 1500\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 6027 | Find the long base $ a $ of a trapezoid if long base $a = 7.25\, \text{in}$, short base $b = 3.25\, \text{in}$ and height $h = 16.5\, \text{in}$. | 2 |
| 6028 | Find the angle $ \beta $ of a trapezoid if long base $a = 7.25\, \text{in}$, short base $b = 3.25\, \text{in}$ and height $h = 16.5\, \text{in}$. | 2 |
| 6029 | Find the long base $ a $ of a trapezoid if short base $b = 10.5\, \text{m}$, side $c = 7.1\, \text{mm}$, height $h = 4.9\, \text{mm}$ and area $A = 61\, \text{mm}^2$. | 2 |
| 6030 | Find the long base $ a $ of a trapezoid if long base $a = 120\, \text{in}$, short base $b = 78\, \text{in}$ and side $c = 96\, \text{in}$. | 2 |
| 6031 | Find the diagonal $ d $ of a trapezoid if long base $a = 120\, \text{in}$, short base $b = 78\, \text{in}$ and side $c = 96\, \text{in}$. | 2 |
| 6032 | Find the long base $ a $ of a trapezoid if short base $b = 11\, \text{mm}$ and side $c = 12\, \text{mm}$. | 2 |
| 6033 | Find the long base $ a $ of a trapezoid if short base $b = 11\, \text{mm}$, side $c = 12\, \text{mm}$ and height $h = 13\, \text{mm}$. | 2 |
| 6034 | Find the long base $ a $ of a trapezoid if long base $a = 78.5\, \text{mm}$, short base $b = 54.5\, \text{mm}$ and height $h = 6\, \text{mm}$. | 2 |
| 6035 | Find the angle $ \alpha $ of a trapezoid if long base $a = 78.5\, \text{mm}$, short base $b = 54.5\, \text{mm}$ and height $h = 6\, \text{mm}$. | 2 |
| 6036 | Find the angle $ \beta $ of a trapezoid if long base $a = 78.5\, \text{mm}$, short base $b = 54.5\, \text{mm}$ and height $h = 6\, \text{mm}$. | 2 |
| 6037 | Find the short base $ b $ of a trapezoid if long base $a = 38\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 6038 | Find the short base $ b $ of a trapezoid if long base $a = 38\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 6039 | Find the height $ h $ of a trapezoid if long base $a = 13\, \text{cm}$, short base $b = 5\, \text{mm}$ and side $c = 5\, \text{mm}$. | 2 |
| 6040 | Find the height $ h $ of a trapezoid if long base $a = 13\, \text{cm}$, short base $b = 5\, \text{mm}$, side $c = 5\, \text{mm}$ and area $A = 27\, \text{mm}^2$. | 2 |
| 6041 | Find the long base $ a $ of a trapezoid if long base $a = 190\, \text{ft}$, short base $b = 180.29\, \text{ft}$, side $c = 111.34\, \text{ft}$, area $A = 22746\, \text{ft}^2$ and perimeter $P = 620.66\, \text{ft}$. | 2 |
| 6042 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mm}$, height $h = 7\, \text{mm}$ and area $A = 77\, \text{mm}^2$. | 2 |
| 6043 | Find the long base $ a $ of a trapezoid if short base $b = 53.5\, \text{in}$ and side $c = 22\, \text{in}$. | 2 |
| 6044 | Find the long base $ a $ of a trapezoid if short base $b = 53.5\, \text{in}$, side $c = 22\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 6045 | Find the short base $ b $ of a trapezoid if long base $a = 13\, \text{m}$, height $h = 10\, \text{m}$ and area $A = 100\, \text{m}^2$. | 2 |
| 6046 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 4\, \text{mm}$. | 2 |
| 6047 | Find the short base $ b $ of a trapezoid if long base $a = 6\, \text{in}$, height $h = 11.25\, \text{in}$ and angle $\alpha = 83^o$. | 2 |
| 6048 | Find the long base $ a $ of a trapezoid if long base $a = 700\, \text{mm}$, short base $b = 450\, \text{mm}$, side $c = 900\, \text{mm}$ and height $h = 850\, \text{mm}$. | 2 |
| 6049 | Find the long base $ a $ of a trapezoid if long base $a = 294.34\, \text{m}$, height $h = 182.14\, \text{m}$ and area $A = 50000\, \text{m}^2$. | 2 |
| 6050 | Find the long base $ a $ of a trapezoid if short base $b = 5\, \text{cm}$ and side $c = 11.9\, \text{cm}$. | 2 |
