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 $a = 42.5\, \text{ft}$, short base $b = 41.5\, \text{ft}$ and height $h = 16\, \text{ft}$. | 2 |
| 6002 | Find the long base $ a $ of a trapezoid if long base $a = 138\, \text{cm}$, short base $b = 127\, \text{cm}$ and side $c = 11.5\, \text{cm}$. | 2 |
| 6003 | Find the perimeter $ P $ of a trapezoid if long base $a = 50\, \text{ft}$, height $h = 30\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 6004 | Find the long base $ a $ of a trapezoid if long base $a = 2.0833\, \text{ft}$, short base $b = 1.6667\, \text{ft}$ and height $h = 25\, \text{ft}$. | 2 |
| 6005 | Find the long base $ a $ of a trapezoid if short base $b = 16.75\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 6006 | Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 6007 | Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{in}$, height $h = 30\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 6008 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 30\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 6009 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 30\, \text{in}$ and angle $\beta = 135^o$. | 2 |
| 6010 | Find the perimeter $ P $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 9\, \text{mm}$ and height $h = 12\, \text{mm}$. | 2 |
| 6011 | Find the height $ h $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 42\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 6012 | Find the area $ A $ of a trapezoid if long base $a = 3.75\, \text{mm}$, short base $b = 6.25\, \text{mm}$ and height $h = 12\, \text{mm}$. | 2 |
| 6013 | Find the area $ A $ of a trapezoid if long base $a = 3.75\, \text{mm}$, short base $b = 6.25\, \text{mm}$ and height $h = 5\, \text{mm}$. | 2 |
| 6014 | Find the area $ A $ of a trapezoid if long base $a = 3\, \text{mm}$, short base $b = 5\, \text{mm}$ and height $h = 4\, \text{mm}$. | 2 |
| 6015 | Find the perimeter $ P $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 3\, \text{mm}$ and height $h = 4\, \text{mm}$. | 2 |
| 6016 | Find the long base $ a $ of a trapezoid if short base $b = 4.5\, \text{ft}$, side $c = 16\, \text{ft}$, angle $\alpha = 15^o$ and angle $\beta = 105^o$. | 2 |
| 6017 | Find the side $ c $ of a trapezoid if long base $a = 15\, \text{mm}$ and short base $b = 5\, \text{mm}$. | 2 |
| 6018 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$, side $c = 24\, \text{in}$, diagonal $d = 24\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 6019 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$, side $c = 24\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 6020 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and angle $\alpha = 60^o$. | 2 |
| 6021 | Find the side $ c $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and angle $\alpha = 60^o$. | 2 |
| 6022 | Find the height $ h $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and side $c = 24\, \text{in}$. | 2 |
| 6023 | Find the angle $ \alpha $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and side $c = 24\, \text{in}$. | 2 |
| 6024 | Find the long base $ a $ of a trapezoid if short base $b = 166.065\, \text{m}$, area $A = 4460.8438\, \text{m}^2$ and angle $\alpha = 90^o$. | 2 |
| 6025 | Find the long base $ a $ of a trapezoid if short base $b = 16.75\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 67.5^o$. | 2 |
| 6026 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 67.5^o$. | 2 |
| 6027 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, height $h = 5.5\, \text{in}$ and angle $\alpha = 67.5^o$. | 2 |
| 6028 | Find the long base $ a $ of a trapezoid if long base $a = 63.77\, \text{ft}$, short base $b = 116.4\, \text{ft}$ and side $c = 125\, \text{ft}$. | 2 |
| 6029 | Find the side $ c $ of a trapezoid if long base $a = 48\, \text{mm}$, short base $b = 24\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 6030 | Find the short base $ b $ of a trapezoid if long base $a = 55.6875\, \text{in}$, side $c = 25.5\, \text{mm}$, angle $\alpha = 80.5^o$ and angle $\beta = 99.5^o$. | 2 |
| 6031 | Find the long base $ a $ of a trapezoid if short base $b = 52.75\, \text{mm}$, side $c = 35.75\, \text{mm}$ and height $h = 18.75\, \text{mm}$. | 2 |
| 6032 | Find the long base $ a $ of a trapezoid if height $h = 110\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 2 |
| 6033 | Find the side $ c $ of a trapezoid if long base $a = 53\, \text{cm}$, short base $b = 16\, \text{cm}$ and height $h = 28\, \text{cm}$. | 2 |
| 6034 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 10.1\, \text{mm}$, side $c = 9\, \text{mm}$ and diagonal $d = 10.8\, \text{mm}$. | 2 |
| 6035 | Find the long base $ a $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 64\, \text{mm}$, height $h = 24\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 6036 | Find the long base $ a $ of a trapezoid if short base $b = 600\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 6037 | Find the side $ c $ of a trapezoid if long base $a = 3400\, \text{mm}$, short base $b = 600\, \text{mm}$ and height $h = 1400\, \text{mm}$. | 2 |
| 6038 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 50\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 6039 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 6040 | Find the long base $ a $ of a trapezoid if short base $b = 3.5\, \text{ft}$, height $h = 6.5\, \text{ft}$ and angle $\beta = 45^o$. | 2 |
| 6041 | Find the area $ A $ of a trapezoid if long base $a = 119\, \text{mm}$, short base $b = 19\, \text{mm}$, side $c = 81\, \text{mm}$ and height $h = 2200\, \text{mm}$. | 2 |
| 6042 | Find the area $ A $ of a trapezoid if long base $a = 7\, \text{mm}$, short base $b = 7\, \text{mm}$ and height $h = 3.1\, \text{mm}$. | 2 |
| 6043 | Find the area $ A $ of a trapezoid if long base $a = 74\, \text{mm}$, short base $b = 115\, \text{mm}$ and height $h = 48\, \text{mm}$. | 2 |
| 6044 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{cm}$, height $h = 60\, \text{mm}$ and angle $\beta = 98.117^o$. | 2 |
| 6045 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{cm}$, height $h = 90.5\, \text{mm}$ and angle $\beta = 98.117^o$. | 2 |
| 6046 | Find the side $ c $ of a trapezoid if long base $a = 126\, \text{in}$, short base $b = 96\, \text{in}$ and height $h = 78\, \text{in}$. | 2 |
| 6047 | Find the long base $ a $ of a trapezoid if long base $a = 45\, \text{in}$, short base $b = 36\, \text{in}$ and side $c = 60\, \text{in}$. | 2 |
| 6048 | Find the angle $ \alpha $ of a trapezoid if long base $a = 45\, \text{in}$, short base $b = 36\, \text{in}$ and side $c = 60\, \text{in}$. | 2 |
| 6049 | Find the angle $ \beta $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 16\, \text{in}$, side $c = 16\, \text{in}$ and diagonal $d = 16\, \text{mm}$. | 2 |
| 6050 | Find the diagonal $ d $ of a trapezoid if long base $a = 126\, \text{in}$, short base $b = 96\, \text{in}$ and side $c = 79.5\, \text{in}$. | 2 |
