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 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 |
| 1502 | Find the area $ A $ of a trapezoid if short base $b = 3.9\, \text{m}$, height $h = 22.8\, \text{m}$ and angle $\alpha = 76.9137^o$. | 3 |
| 1503 | Find the area $ A $ of a trapezoid if long base $a = 12$, short base $b = 4$ and side $c = \frac{ 58 }{ 5 }$. | 3 |
| 1504 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 6 }{ 25 }$, height $h = \frac{ 17 }{ 250 }$ and angle $\alpha = 45^o$. | 3 |
| 1505 | Find the angle $ \beta $ of a trapezoid if long base $a = 80$, short base $b = 48$, side $c = \frac{ 711 }{ 25 }$ and height $h = 24$. | 3 |
| 1506 | Find the angle $ \beta $ of a trapezoid if long base $a = 80$, short base $b = 48$ and height $h = 24$. | 3 |
| 1507 | Find the short base $ b $ of a trapezoid if long base $a = 11$, height $h = 10$ and area $A = 85$. | 3 |
| 1508 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 207 }{ 2 }$, side $c = \frac{ 417 }{ 4 }$ and angle $\alpha = 90^o$. | 3 |
| 1509 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 207 }{ 2 }$, height $h = \frac{ 417 }{ 4 }$ and angle $\alpha = 86^o$. | 3 |
| 1510 | Find the long base $ a $ of a trapezoid if long base $a = 36$, short base $b = 28$ and height $h = 20$. | 3 |
| 1511 | Find the long base $ a $ of a trapezoid if long base $a = 14$, short base $b = 8$ and height $h = 20$. | 3 |
| 1512 | Find the area $ A $ of a trapezoid if long base $a = 12$, short base $b = 5$ and height $h = 4$. | 3 |
| 1513 | Find the side $ c $ of a trapezoid if long base $a = 72$, side $c = \frac{ 45 }{ 4 }$ and height $h = 8$. | 3 |
| 1514 | Find the of a trapezoid if long base $a = 70$, short base $b = 10$ and height $h = 30$. | 3 |
| 1515 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 5$ and height $h = 9$. | 3 |
| 1516 | Find the area $ A $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 12 }{ 5 }$ and height $h = \frac{ 41 }{ 10 }$. | 3 |
| 1517 | Find the long base $ a $ of a trapezoid if short base $b = 3$, side $c = \frac{ 18 }{ 5 }$ and height $h = 2$. | 3 |
| 1518 | Find the of a trapezoid if long base $a = \frac{ 115 }{ 2 }$, side $c = \frac{ 35 }{ 4 }$, diagonal $d = \frac{ 475 }{ 8 }$ and height $h = \frac{ 91 }{ 4 }$. | 3 |
| 1519 | Find the long base $ a $ of a trapezoid if long base $a = 140$, short base $b = 80$, side $c = 600$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1520 | Find the long base $ a $ of a trapezoid if long base $a = 140$ and short base $b = 80$. | 3 |
| 1521 | Find the of a trapezoid if long base $a = \frac{ 9493 }{ 250 }$, short base $b = \sqrt{ 200 }$ and height $h = 3 \sqrt{ 200 }$. | 3 |
| 1522 | Find the long base $ a $ of a trapezoid if short base $b = 27$, height $h = 11$ and area $A = 209$. | 3 |
| 1523 | Find the area $ A $ of a trapezoid if long base $a = 18$, short base $b = 30$ and height $h = 7$. | 3 |
| 1524 | Find the long base $ a $ of a trapezoid if long base $a = 17$, short base $b = 15$ and height $h = \frac{ 35 }{ 2 }$. | 3 |
| 1525 | Find the short base $ b $ of a trapezoid if long base $a = 200$, side $c = 50$ and area $A = 10000$. | 3 |
| 1526 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 114943 }{ 500 }$, side $c = \frac{ 49789 }{ 250 }$ and angle $\alpha = 75^o$. | 3 |
| 1527 | Find the side $ c $ of a trapezoid if long base $a = 5$, short base $b = 1$ and angle $\beta = 45^o$. | 3 |
| 1528 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 973 }{ 100 }$, height $h = 3$ and angle $\alpha = 76^o$. | 3 |
| 1529 | Find the long base $ a $ of a trapezoid if long base $a = 55$, short base $b = 30$ and side $c = 15$. | 3 |
| 1530 | Find the of a trapezoid if long base $a = 51$, short base $b = 47$ and side $c = 46$. | 3 |
| 1531 | Find the angle $ \beta $ of a trapezoid if long base $a = 51$, short base $b = 47$ and side $c = 46$. | 3 |
| 1532 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 183 }{ 10 }$, short base $b = \frac{ 84 }{ 5 }$, height $h = \frac{ 147 }{ 10 }$, angle $\alpha = 3^o$ and angle $\beta = 177^o$. | 3 |
| 1533 | Find the angle $ \alpha $ of a trapezoid if long base $a = 72.5\, \text{in}$, short base $b = 67\, \text{in}$ and height $h = 81.25\, \text{in}$. | 3 |
| 1534 | Find the median $ m $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 8.24\, \text{in}$ and side $c = 24\, \text{in}$. | 3 |
| 1535 | Find the area $ A $ of a trapezoid if long base $a = 75\, \text{mm}$, short base $b = 66\, \text{mm}$ and height $h = 94\, \text{mm}$. | 3 |
| 1536 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{m}$, side $c = 7\, \text{cm}$ and angle $\alpha = 60^o$. | 3 |
| 1537 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 10\, \text{in}$. | 3 |
| 1538 | Find the area $ A $ of a trapezoid if long base $a = 44\, \text{ft}$, short base $b = 16\, \text{ft}$ and side $c = 22\, \text{ft}$. | 3 |
| 1539 | Find the height $ h $ of a trapezoid if long base $a = 24\, \text{ft}$, short base $b = 22\, \text{ft}$ and side $c = 20\, \text{ft}$. | 3 |
| 1540 | Find the side $ c $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 35\, \text{mm}$ and height $h = 50\, \text{mm}$. | 3 |
| 1541 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 78.75^o$. | 3 |
| 1542 | Find the short base $ b $ of a trapezoid if long base $a = 2\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 78.75^o$. | 3 |
| 1543 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$ and side $c = 16\, \text{in}$. | 3 |
| 1544 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{ft}$, height $h = 5\, \text{ft}$ and area $A = 45\, \text{ft}^2$. | 3 |
| 1545 | Find the long base $ a $ of a trapezoid if short base $b = 642\, \text{mm}$. | 3 |
| 1546 | Find the long base $ a $ of a trapezoid if short base $b = 40\, \text{mm}$, side $c = 20\, \text{mm}$ and angle $\beta = 45^o$. | 3 |
| 1547 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 27.9^o$. | 3 |
| 1548 | Find the long base $ a $ of a trapezoid if short base $b = 40\, \text{ft}$, side $c = 20\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 1549 | Find the angle $ \alpha $ of a trapezoid if angle $\beta = 105^o$. | 3 |
| 1550 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{in}$, height $h = 10\, \text{in}$ and angle $\alpha = 45^o$. | 3 |
