Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1551 | Find the side $ c $ of a trapezoid if long base $a = 21\, \text{ft}$ and short base $b = 68\, \text{in}$. | 3 |
| 1552 | Find the height $ h $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 17.5\, \text{mm}$ and side $c = 17.5\, \text{mm}$. | 3 |
| 1553 | Find the diagonal $ d $ of a trapezoid if long base $a = 276\, \text{in}$, short base $b = 144\, \text{in}$ and side $c = 310\, \text{in}$. | 3 |
| 1554 | Find the side $ c $ of a trapezoid if long base $a = 3.1\, \text{mm}$. | 3 |
| 1555 | Find the short base $ b $ of a trapezoid if long base $a = 52\, \text{mm}$, height $h = 30\, \text{mm}$ and angle $\alpha = 30^o$. | 3 |
| 1556 | Find the short base $ b $ of a trapezoid if long base $a = 52\, \text{mm}$, height $h = 30\, \text{mm}$ and angle $\alpha = 150^o$. | 3 |
| 1557 | 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 |
| 1558 | Find the long base $ a $ of a trapezoid if side $c = 7\, \text{mm}$ and diagonal $d = 6\, \text{mm}$. | 3 |
| 1559 | 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 |
| 1560 | 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 |
| 1561 | 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 |
| 1562 | 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 |
| 1563 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mm}$, short base $b = 6\, \text{mm}$ and side $c = 5\, \text{mm}$. | 3 |
| 1564 | 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 |
| 1565 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$ and side $c = 1.5\, \text{mm}$. | 3 |
| 1566 | 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 |
| 1567 | 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 |
| 1568 | 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 |
| 1569 | 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 |
| 1570 | 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 |
| 1571 | 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 |
| 1572 | 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 |
| 1573 | 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 |
| 1574 | 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 |
| 1575 | 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 |
| 1576 | 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 |
| 1577 | 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 |
| 1578 | 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 |
| 1579 | 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 |
| 1580 | 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 |
| 1581 | 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 |
| 1582 | Find the area $ A $ of a trapezoid if long base $a = 60\, \text{mm}$, short base $b = 30\, \text{mm}$ and perimeter $P = 200\, \text{mm}$. | 3 |
| 1583 | Find the side $ c $ of a trapezoid if short base $b = 62\, \text{in}$ and height $h = 22.5\, \text{in}$. | 3 |
| 1584 | 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 |
| 1585 | 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 |
| 1586 | 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 |
| 1587 | Find the long base $ a $ of a trapezoid if angle $\alpha = 60^o$ and angle $\beta = 90^o$. | 3 |
| 1588 | 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 |
| 1589 | 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 |
| 1590 | 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 |
| 1591 | 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 |
| 1592 | 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 |
| 1593 | 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 |
| 1594 | 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 |
| 1595 | 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 |
| 1596 | 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 |
| 1597 | 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 |
| 1598 | 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 |
| 1599 | 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 |
| 1600 | 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 |
