Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1 | Find the long base $ a $ of a trapezoid if short base $b = 59\, \text{cm}$, side $c = 27\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 658 |
| 2 | Find the long base $ a $ of a trapezoid if short base $b = 50\, \text{cm}$ and side $c = 30\, \text{cm}$. | 633 |
| 3 | Find the long base $ a $ of a trapezoid if ???. | 406 |
| 4 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{cm}$ and side $c = 5\, \text{cm}$. | 280 |
| 5 | Find the long base $ a $ of a trapezoid if short base $b = 59\, \text{cm}$, side $c = 27\, \text{cm}$ and angle $\beta = 45^o$. | 263 |
| 6 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, height $h = 1\, \text{cm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 260 |
| 7 | Find the long base $ a $ of a trapezoid if long base $a = 185\, \text{mm}$ and side $c = 67\, \text{cm}$. | 201 |
| 8 | Find the long base $ a $ of a trapezoid if long base $a = 300\, \text{cm}$, height $h = 5\, \text{cm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 196 |
| 9 | Find the long base $ a $ of a trapezoid if short base $b = 11\, \text{cm}$, height $h = 8\, \text{cm}$ and area $A = 136\, \text{cm}$. | 183 |
| 10 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{mm}$, side $c = 18\, \text{cm}$, median $m = 9\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 179 |
| 11 | Find the long base $ a $ of a trapezoid if angle $\alpha = 72^o$. | 170 |
| 12 | Find the long base $ a $ of a trapezoid if long base $a = 27.75\, \text{mi}$ and short base $b = 23.25\, \text{cm}$. | 157 |
| 13 | Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{cm}$, side $c = 32\, \text{cm}$ and height $h = 32\, \text{cm}$. | 146 |
| 14 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{km}$, short base $b = 4\, \text{cm}$ and side $c = 3\, \text{cm}$. | 145 |
| 15 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, height $h = 6\, \text{cm}$ and area $A = 42\, \text{cm}$. | 121 |
| 16 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3.6\, \text{cm}$ and height $h = 6\, \text{cm}$. | 105 |
| 17 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{mm}$, short base $b = 4.75\, \text{cm}$ and height $h = 23.875\, \text{cm}$. | 82 |
| 18 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{cm}$, height $h = 1.5\, \text{cm}$ and angle $\beta = 166^o$. | 82 |
| 19 | Find the long base $ a $ of a trapezoid if short base $b = 50$ and side $c = 30$. | 76 |
| 20 | Find the long base $ a $ of a trapezoid if short base $b = 11.9\, \text{cm}$, height $h = 3.8\, \text{cm}$ and angle $\alpha = 60^o$. | 72 |
| 21 | Find the long base $ a $ of a trapezoid if short base $b = 8$ and side $c = 5$. | 72 |
| 22 | Find the short base $ b $ of a trapezoid if long base $a = 15\, \text{in}$, side $c = 6\, \text{in}$ and height $h = 5\, \text{in}$. | 71 |
| 23 | Find the long base $ a $ of a trapezoid if long base $a = 106\, \text{ft}$, side $c = 25\, \text{cm}$ and angle $\alpha = 90^o$. | 65 |
| 24 | Find the long base $ a $ of a trapezoid if area $A = 64\, \text{cm}$. | 55 |
| 25 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 50 |
| 26 | Find the long base $ a $ of a trapezoid if short base $b = 59$, side $c = 27$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 48 |
| 27 | Find the long base $ a $ of a trapezoid if ???. | 46 |
| 28 | Find the long base $ a $ of a trapezoid if long base $a = 6$, height $h = 1$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 41 |
| 29 | Find the long base $ a $ of a trapezoid if short base $b = 59$, side $c = 27$ and angle $\beta = 45^o$. | 41 |
| 30 | Find the area $ A $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 18 }{ 5 }$ and height $h = 6$. | 36 |
| 31 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 201 }{ 10 }$, side $c = 6$ and angle $\alpha = 60^o$. | 32 |
| 32 | Find the long base $ a $ of a trapezoid if short base $b = 48$, side $c = 32$ and height $h = 32$. | 28 |
| 33 | Find the height $ h $ of a trapezoid if long base $a = 136\, \text{mm}$, short base $b = 60\, \text{mm}$ and side $c = 125\, \text{mm}$. | 28 |
| 34 | Find the long base $ a $ of a trapezoid if ???. | 28 |
| 35 | Find the long base $ a $ of a trapezoid if long base $a = 72\, \text{cm}$, height $h = 24\, \text{cm}$ and angle $\alpha = 18^o$. | 23 |
| 36 | Find the long base $ a $ of a trapezoid if long base $a = 20$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 22 |
| 37 | Find the short base $ b $ of a trapezoid if long base $a = 22$, side $c = 7$ and angle $\alpha = 70^o$. | 21 |
| 38 | Find the long base $ a $ of a trapezoid if long base $a = 910\, \text{ft}$, short base $b = 500\, \text{cm}$ and side $c = 477.0327\, \text{cm}$. | 20 |
| 39 | Find the long base $ a $ of a trapezoid if long base $a = 117\, \text{mm}$, short base $b = 116\, \text{cm}$ and side $c = 72\, \text{cm}$. | 19 |
| 40 | Find the area $ A $ of a trapezoid if long base $a = 1100$, short base $b = 1000$ and height $h = 900$. | 18 |
| 41 | Find the long base $ a $ of a trapezoid if long base $a = 415\, \text{ft}$, short base $b = 75\, \text{cm}$ and side $c = 525.1505\, \text{cm}$. | 18 |
| 42 | Find the short base $ b $ of a trapezoid if long base $a = 31$, side $c = 9$ and angle $\alpha = 45^o$. | 18 |
| 43 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{in}$, height $h = 1.5\, \text{in}$ and angle $\alpha = 45^o$. | 17 |
| 44 | Find the short base $ b $ of a trapezoid if long base $a = 5$, side $c = 2$ and height $h = 2$. | 17 |
| 45 | Find the height $ h $ of a trapezoid if area $A = 64$. | 17 |
| 46 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{cm}$, side $c = 6\, \text{cm}$ and angle $\alpha = 60^o$. | 17 |
| 47 | Find the median $ m $ of a trapezoid if long base $a = 63\, \text{m}$, short base $b = 58\, \text{m}$ and side $c = 32\, \text{mm}$. | 16 |
| 48 | Find the long base $ a $ of a trapezoid if short base $b = 5\, \text{cm}$, height $h = 23\, \text{cm}$ and angle $\alpha = 6^o$. | 16 |
| 49 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{km}$ and short base $b = 8\, \text{cm}$. | 16 |
| 50 | Find the perimeter $ P $ of a trapezoid if long base $a = 18$, short base $b = 10$, side $c = 5$ and height $h = 3$. | 15 |
