Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1501 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{cm}$, side $c = 7\, \text{cm}$ and diagonal $d = 21\, \text{cm}$. | 3 |
| 1502 | Find the long base $ a $ of a trapezoid if long base $a = 961\, \text{ft}$, short base $b = 483\, \text{cm}$ and side $c = 420\, \text{cm}$. | 3 |
| 1503 | Find the side $ c $ of a trapezoid if long base $a = 8.5\, \text{mm}$ and short base $b = 6.5\, \text{mm}$. | 3 |
| 1504 | Find the side $ c $ of a trapezoid if long base $a = 8.5\, \text{mm}$, short base $b = 6.5\, \text{mm}$ and height $h = 350\, \text{mm}$. | 3 |
| 1505 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8.28\, \text{mm}$, short base $b = 6.28\, \text{mm}$ and height $h = 35\, \text{mm}$. | 3 |
| 1506 | Find the angle $ \beta $ of a trapezoid if long base $a = 8.28\, \text{mm}$, short base $b = 6.28\, \text{mm}$ and height $h = 35\, \text{mm}$. | 3 |
| 1507 | Find the long base $ a $ of a trapezoid if long base $a = 16.25\, \text{mm}$, short base $b = 19\, \text{cm}$ and height $h = 17.5\, \text{cm}$. | 3 |
| 1508 | Find the side $ c $ of a trapezoid if long base $a = 65\, \text{mm}$, short base $b = 4.5\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1509 | Find the long base $ a $ of a trapezoid if long base $a = 190\, \text{ft}$, short base $b = 180.29\, \text{ft}$ and side $c = 111.34\, \text{ft}$. | 3 |
| 1510 | Find the side $ c $ of a trapezoid if long base $a = 78.5\, \text{mm}$, short base $b = 54.5\, \text{mm}$ and height $h = 6\, \text{mm}$. | 3 |
| 1511 | Find the long base $ a $ of a trapezoid if short base $b = 5\, \text{cm}$, side $c = 11.9\, \text{cm}$ and height $h = 11.9\, \text{mm}$. | 3 |
| 1512 | Find the long base $ a $ of a trapezoid if long base $a = 2280\, \text{m}$, side $c = 175\, \text{cm}$, height $h = 1020\, \text{cm}$ and angle $\alpha = 90^o$. | 3 |
| 1513 | Find the height $ h $ of a trapezoid if long base $a = 1.25\, \text{in}$, short base $b = 1\, \text{in}$ and angle $\beta = 95^o$. | 3 |
| 1514 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{yd}$, short base $b = \frac{ 131 }{ 5 }\, \text{yd}$ and height $h = \frac{ 33 }{ 4 }\, \text{yd}$. | 3 |
| 1515 | Find the median $ m $ of a trapezoid if long base $a = 220\, \text{mm}$ and short base $b = 160\, \text{mm}$. | 3 |
| 1516 | Find the median $ m $ of a trapezoid if long base $a = 220\, \text{mm}$, short base $b = 160\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1517 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{dm}$, short base $b = 5\, \text{cm}$ and diagonal $d = 7\, \text{cm}$. | 3 |
| 1518 | Find the area $ A $ of a trapezoid if long base $a = 16\, \text{ft}$, short base $b = 10\, \text{ft}$ and height $h = \sqrt{ 7 }\, \text{ft}$. | 3 |
| 1519 | Find the angle $ \beta $ of a trapezoid if long base $a = 192\, \text{in}$, short base $b = 96\, \text{in}$ and side $c = 96\, \text{in}$. | 3 |
| 1520 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{mm}$. | 3 |
| 1521 | Find the long base $ a $ of a trapezoid if long base $a = 21\, \text{in}$, short base $b = 12\, \text{mm}$ and height $h = 10\, \text{mm}$. | 3 |
| 1522 | Find the long base $ a $ of a trapezoid if side $c = 59.4\, \text{ft}$, angle $\alpha = 81.64^o$ and angle $\beta = 124.71^o$. | 3 |
| 1523 | Find the long base $ a $ of a trapezoid if short base $b = 8.268\, \text{cm}$, height $h = 12.7\, \text{cm}$ and angle $\alpha = 67^o$. | 3 |
| 1524 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 5\, \text{mm}$. | 3 |
| 1525 | Find the short base $ b $ of a trapezoid if long base $a = 10.5\, \text{in}$, height $h = 3\, \text{in}$ and area $A = 26.25\, \text{in}^2$. | 3 |
| 1526 | Find the long base $ a $ of a trapezoid if long base $a = 3100\, \text{mm}$, short base $b = 1750\, \text{mm}$ and height $h = 6210\, \text{mm}$. | 3 |
| 1527 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 12\, \text{in}$. | 3 |
| 1528 | Find the long base $ a $ of a trapezoid if long base $a = 75\, \text{mm}$, short base $b = 25\, \text{mm}$ and height $h = 56\, \text{mm}$. | 3 |
| 1529 | Find the long base $ a $ of a trapezoid if long base $a = 50\, \text{mm}$, short base $b = 20\, \text{mm}$ and side $c = 30\, \text{mm}$. | 3 |
| 1530 | Find the angle $ \alpha $ of a trapezoid if long base $a = 120\, \text{in}$, short base $b = 3\, \text{in}$ and height $h = 64\, \text{in}$. | 3 |
| 1531 | Find the long base $ a $ of a trapezoid if long base $a = 44\, \text{mm}$, short base $b = 12\, \text{mm}$ and height $h = 16\, \text{mm}$. | 3 |
| 1532 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{km}$, short base $b = 2.5\, \text{cm}$ and side $c = 24\, \text{cm}$. | 3 |
| 1533 | Find the height $ h $ of a trapezoid if long base $a = 65\, \text{ft}$, short base $b = 25\, \text{ft}$ and side $c = 22\, \text{ft}$. | 3 |
| 1534 | Find the long base $ a $ of a trapezoid if long base $a = 142\, \text{mm}$, short base $b = 93\, \text{mm}$, side $c = 1268\, \text{mm}$ and diagonal $d = 1262\, \text{mm}$. | 3 |
| 1535 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{mm}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 3 |
| 1536 | Find the long base $ a $ of a trapezoid if long base $a = 23\, \text{mm}$, short base $b = 7\, \text{mm}$ and height $h = 8\, \text{mm}$. | 3 |
| 1537 | Find the long base $ a $ of a trapezoid if area $A = 0.25\, \text{mm}^2$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1538 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{in}$, height $h = 2\, \text{in}$ and angle $\alpha = 60^o$. | 3 |
| 1539 | Find the long base $ a $ of a trapezoid if long base $a = 12.25\, \text{in}$, short base $b = 10\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 5^o$. | 3 |
| 1540 | Find the long base $ a $ of a trapezoid if short base $b = 54\, \text{in}$, height $h = 17.75\, \text{in}$ and angle $\beta = 112^o$. | 3 |
| 1541 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 18\, \text{in}$, height $h = 48\, \text{in}$ and angle $\alpha = 80^o$. | 3 |
| 1542 | Find the long base $ a $ of a trapezoid if long base $a = 21\, \text{ft}$, side $c = 17\, \text{ft}$, height $h = 12\, \text{ft}$ and angle $\alpha = 45^o$. | 3 |
| 1543 | Find the long base $ a $ of a trapezoid if long base $a = 21\, \text{ft}$, height $h = 12\, \text{ft}$ and angle $\alpha = 45^o$. | 3 |
| 1544 | Find the long base $ a $ of a trapezoid if long base $a = 52\, \text{mm}$, short base $b = 39\, \text{mm}$ and side $c = 5\, \text{mm}$. | 3 |
| 1545 | Find the angle $ \alpha $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 5\, \text{mm}$. | 3 |
| 1546 | Find the side $ c $ of a trapezoid if long base $a = 18.5\, \text{in}$, short base $b = 16.5\, \text{in}$ and height $h = 6\, \text{in}$. | 3 |
| 1547 | Find the angle $ \beta $ of a trapezoid if long base $a = 18.5\, \text{in}$, short base $b = 16.5\, \text{in}$ and height $h = 6\, \text{in}$. | 3 |
| 1548 | Find the median $ m $ of a trapezoid if long base $a = 18.5\, \text{in}$, short base $b = 16.5\, \text{in}$ and height $h = 6\, \text{in}$. | 3 |
| 1549 | Find the long base $ a $ of a trapezoid if long base $a = 150\, \text{mm}$, height $h = 63\, \text{mm}$ and angle $\alpha = 25^o$. | 3 |
| 1550 | Find the short base $ b $ of a trapezoid if long base $a = 150\, \text{mm}$, height $h = 63\, \text{mm}$ and angle $\alpha = 25^o$. | 3 |
