Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1451 | Find the short base $ b $ of a trapezoid if long base $a = 52\, \text{mm}$, side $c = 60\, \text{mm}$ and height $h = 30\, \text{mm}$. | 3 |
| 1452 | Find the long base $ a $ of a trapezoid if side $c = 7\, \text{mm}$ and diagonal $d = 6\, \text{mm}$. | 3 |
| 1453 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 6\, \text{mm}$ and side $c = 6\, \text{mm}$. | 3 |
| 1454 | Find the long base $ a $ of a trapezoid if long base $a = 78\, \text{in}$, short base $b = 72\, \text{in}$ and side $c = 21\, \text{in}$. | 3 |
| 1455 | Find the long base $ a $ of a trapezoid if long base $a = 54.25\, \text{in}$, short base $b = 48\, \text{in}$, side $c = 22\, \text{in}$ and diagonal $d = 22\, \text{mm}$. | 3 |
| 1456 | Find the perimeter $ P $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 6\, \text{mm}$, side $c = 8\, \text{mm}$ and area $A = 51\, \text{mm}^2$. | 3 |
| 1457 | Find the diagonal $ d $ of a trapezoid if long base $a = 364\, \text{in}$, short base $b = 264\, \text{in}$ and side $c = 264\, \text{in}$. | 3 |
| 1458 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$ and side $c = 1.5\, \text{mm}$. | 3 |
| 1459 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{cm}$, side $c = 2\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 1460 | Find the long base $ a $ of a trapezoid if long base $a = 56.224\, \text{in}$, short base $b = 44.625\, \text{in}$ and height $h = 27.625\, \text{in}$. | 3 |
| 1461 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{mm}$, height $h = 1\, \text{mm}$, angle $\alpha = 43.66^o$ and angle $\beta = 136.34^o$. | 3 |
| 1462 | Find the long base $ a $ of a trapezoid if long base $a = 29.999\, \text{ft}$, short base $b = 20\, \text{ft}$ and height $h = 12\, \text{ft}$. | 3 |
| 1463 | Find the angle $ \beta $ of a trapezoid if long base $a = 1600\, \text{mm}$, short base $b = 1200\, \text{mm}$ and height $h = 740\, \text{mm}$. | 3 |
| 1464 | Find the long base $ a $ of a trapezoid if long base $a = 72\, \text{in}$, height $h = 24\, \text{in}$ and angle $\alpha = 22.5^o$. | 3 |
| 1465 | Find the long base $ a $ of a trapezoid if long base $a = 72\, \text{in}$, height $h = 24\, \text{in}$ and angle $\beta = 22.5^o$. | 3 |
| 1466 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{ft}$, short base $b = 5\, \text{ft}$ and side $c = 3\, \text{ft}$. | 3 |
| 1467 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 6\, \text{cm}$ and side $c = 4\, \text{cm}$. | 3 |
| 1468 | Find the side $ c $ of a trapezoid if long base $a = 33\, \text{mm}$, short base $b = 18\, \text{mm}$ and side $c = 38.28\, \text{mm}$. | 3 |
| 1469 | Find the long base $ a $ of a trapezoid if long base $a = 31\, \text{cm}$, side $c = 8\, \text{cm}$ and angle $\alpha = 45^o$. | 3 |
| 1470 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{ft}$, short base $b = 2\, \text{ft}$, side $c = 4\, \text{mm}$, diagonal $d = 4.4\, \text{ft}$, height $h = 3.11\, \text{ft}$ and median $m = 1.9\, \text{ft}$. | 3 |
| 1471 | Find the area $ A $ of a trapezoid if long base $a = 40\, \text{cm}$, short base $b = 20\, \text{cm}$ and height $h = 16\, \text{cm}$. | 3 |
| 1472 | Find the diagonal $ d $ of a trapezoid if long base $a = 40\, \text{cm}$, short base $b = 20\, \text{cm}$ and height $h = 16\, \text{cm}$. | 3 |
| 1473 | Find the long base $ a $ of a trapezoid if short base $b = 2.5\, \text{ft}$, height $h = 3.5\, \text{ft}$ and angle $\beta = 45^o$. | 3 |
| 1474 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{cm}$, side $c = 7\, \text{cm}$ and angle $\alpha = 70^o$. | 3 |
| 1475 | Find the side $ c $ of a trapezoid if short base $b = 62\, \text{in}$ and height $h = 22.5\, \text{in}$. | 3 |
| 1476 | Find the long base $ a $ of a trapezoid if short base $b = 2.5\, \text{m}$, side $c = 2.5\, \text{m}$ and area $A = 8.35\, \text{m}^2$. | 3 |
| 1477 | Find the angle $ \beta $ of a trapezoid if long base $a = 11.5\, \text{in}$, short base $b = 9.2\, \text{in}$ and side $c = 7.5\, \text{in}$. | 3 |
| 1478 | Find the long base $ a $ of a trapezoid if long base $a = 1.3\, \text{m}$, height $h = 10\, \text{cm}$ and angle $\alpha = 45^o$. | 3 |
| 1479 | Find the long base $ a $ of a trapezoid if angle $\alpha = 60^o$ and angle $\beta = 90^o$. | 3 |
| 1480 | Find the long base $ a $ of a trapezoid if long base $a = 2464.6\, \text{mm}$, short base $b = 1275.3\, \text{mm}$ and side $c = 1030\, \text{mm}$. | 3 |
| 1481 | Find the angle $ \alpha $ of a trapezoid if long base $a = 2464.6\, \text{mm}$, short base $b = 1275.3\, \text{mm}$ and side $c = 1030\, \text{mm}$. | 3 |
| 1482 | Find the long base $ a $ of a trapezoid if long base $a = 2400\, \text{mm}$, short base $b = 2100\, \text{mm}$ and height $h = 900\, \text{mm}$. | 3 |
| 1483 | Find the angle $ \alpha $ of a trapezoid if long base $a = 2400\, \text{mm}$, short base $b = 2100\, \text{mm}$ and height $h = 900\, \text{mm}$. | 3 |
| 1484 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\beta = 157.5^o$. | 3 |
| 1485 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 20\, \text{in}$. | 3 |
| 1486 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{ft}$, short base $b = 20\, \text{ft}$ and height $h = 22.5\, \text{ft}$. | 3 |
| 1487 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{mm}$, height $h = 11\, \text{mm}$ and area $A = 165\, \text{mm}^2$. | 3 |
| 1488 | Find the area $ A $ of a trapezoid if long base $a = 12\, \text{cm}$, short base $b = 10\, \text{cm}$, side $c = 9\, \text{cm}$ and height $h = 8\, \text{cm}$. | 3 |
| 1489 | Find the angle $ \alpha $ of a trapezoid if long base $a = 4.75\, \text{in}$, short base $b = 16.25\, \text{mm}$, side $c = 23.75\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1490 | Find the height $ h $ of a trapezoid if long base $a = 32\, \text{in}$, short base $b = 28.579\, \text{in}$ and side $c = 7.125\, \text{in}$. | 3 |
| 1491 | Find the area $ A $ of a trapezoid if long base $a = 18.03\, \text{mm}$, short base $b = 11.18\, \text{mm}$ and side $c = 5\, \text{mm}$. | 3 |
| 1492 | Find the side $ c $ of a trapezoid if long base $a = 268\, \text{cm}$, short base $b = 155\, \text{cm}$ and height $h = 263\, \text{cm}$. | 3 |
| 1493 | Find the perimeter $ P $ of a trapezoid if long base $a = 6\, \text{in}$, short base $b = 3\, \text{in}$ and height $h = 3.75\, \text{in}$. | 3 |
| 1494 | Find the height $ h $ of a trapezoid if long base $a = 13\, \text{ft}$, short base $b = 6\, \text{ft}$ and area $A = 180.5\, \text{ft}^2$. | 3 |
| 1495 | Find the height $ h $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 3\, \text{mm}$ and side $c = 5\, \text{mm}$. | 3 |
| 1496 | Find the short base $ b $ of a trapezoid if long base $a = 15\, \text{ft}$, side $c = 6\, \text{ft}$ and height $h = 4\, \text{ft}$. | 3 |
| 1497 | Find the long base $ a $ of a trapezoid if height $h = 0.25\, \text{in}$, median $m = 1\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 111.5^o$. | 3 |
| 1498 | Find the long base $ a $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 12.5\, \text{m}$ and height $h = 3\, \text{m}$. | 3 |
| 1499 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$, side $c = 3\, \text{mm}$ and diagonal $d = 7\, \text{mm}$. | 3 |
| 1500 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 9.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 3 |
