Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 601 | Find the long base $ a $ of a trapezoid if long base $a = 32.75\, \text{in}$, short base $b = 16.25\, \text{in}$ and side $c = 17.75\, \text{in}$. | 5 |
| 602 | Find the angle $ \beta $ of a trapezoid if long base $a = 70\, \text{cm}$, short base $b = 64\, \text{cm}$ and side $c = 70\, \text{mm}$. | 5 |
| 603 | Find the angle $ \alpha $ of a trapezoid if long base $a = 84.5\, \text{in}$, short base $b = 29.25\, \text{in}$, side $c = 73.75\, \text{in}$ and angle $\beta = 90^o$. | 5 |
| 604 | Find the angle $ \beta $ of a trapezoid if long base $a = 50.8\, \text{mm}$, short base $b = 38.1\, \text{mm}$, side $c = 31.75\, \text{mm}$ and angle $\alpha = 78.463^o$. | 5 |
| 605 | Find the long base $ a $ of a trapezoid if short base $b = 16\, \text{ft}$, side $c = 10\, \text{ft}$, height $h = 8\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 5 |
| 606 | Find the height $ h $ of a trapezoid if long base $a = 200.68\, \text{mm}$, short base $b = 211.98\, \text{mm}$ and side $c = 30\, \text{mm}$. | 5 |
| 607 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{in}$ and side $c = 2\, \text{in}$. | 5 |
| 608 | Find the long base $ a $ of a trapezoid if long base $a = 2160\, \text{mm}$, side $c = 1000\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 5 |
| 609 | Find the side $ c $ of a trapezoid if long base $a = 12.5\, \text{mm}$, height $h = 6\, \text{mm}$ and angle $\beta = 97^o$. | 5 |
| 610 | Find the long base $ a $ of a trapezoid if long base $a = 4.4\, \text{mm}$, short base $b = 8\, \text{mm}$, height $h = 2.8\, \text{mm}$ and area $A = 136\, \text{mm}^2$. | 5 |
| 611 | Find the diagonal $ d $ of a trapezoid if long base $a = 15\, \text{cm}$, short base $b = 8\, \text{cm}$ and side $c = 9\, \text{cm}$. | 5 |
| 612 | Find the long base $ a $ of a trapezoid if long base $a = 24.5\, \text{ft}$, short base $b = 32.5\, \text{ft}$ and side $c = 20\, \text{ft}$. | 5 |
| 613 | Find the angle $ \alpha $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 9\, \text{in}$, side $c = 30\, \text{in}$ and height $h = 33\, \text{in}$. | 5 |
| 614 | Find the long base $ a $ of a trapezoid if side $c = 30\, \text{in}$, height $h = 33\, \text{in}$ and angle $\alpha = 18.8^o$. | 5 |
| 615 | Find the long base $ a $ of a trapezoid if long base $a = 4800\, \text{mm}$ and side $c = 3000\, \text{mm}$. | 5 |
| 616 | Find the perimeter $ P $ of a trapezoid if long base $a = 54.67\, \text{mm}$, short base $b = 41\, \text{mm}$ and height $h = 3\, \text{mm}$. | 5 |
| 617 | Find the perimeter $ P $ of a trapezoid if long base $a = 54.67\, \text{mm}$, short base $b = 41\, \text{mm}$ and height $h = 6\, \text{mm}$. | 5 |
| 618 | Find the diagonal $ d $ of a trapezoid if long base $a = 6\, \text{mm}$, side $c = 1\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 150^o$. | 5 |
| 619 | Find the side $ c $ of a trapezoid if long base $a = 450\, \text{mm}$, short base $b = 300\, \text{mm}$ and height $h = 300\, \text{mm}$. | 5 |
| 620 | Find the long base $ a $ of a trapezoid if long base $a = 99\, \text{cm}$, side $c = 44\, \text{cm}$ and height $h = 59\, \text{cm}$. | 5 |
| 621 | Find the angle $ \beta $ of a trapezoid if long base $a = 99\, \text{mm}$, short base $b = 44\, \text{cm}$ and height $h = 59\, \text{cm}$. | 5 |
| 622 | Find the short base $ b $ of a trapezoid if long base $a = 10.5\, \text{mm}$, height $h = 2.2\, \text{mm}$ and angle $\alpha = 55^o$. | 5 |
| 623 | Find the long base $ a $ of a trapezoid if short base $b = 11.3125\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 5 |
| 624 | Find the height $ h $ of a trapezoid if long base $a = 40\, \text{mm}$, short base $b = 25\, \text{mm}$ and area $A = 1800\, \text{mm}^2$. | 5 |
| 625 | Find the angle $ \alpha $ of a trapezoid if long base $a = 140\, \text{mm}$, short base $b = 100\, \text{mm}$ and height $h = 140\, \text{mm}$. | 5 |
| 626 | Find the angle $ \beta $ of a trapezoid if long base $a = 140\, \text{mm}$, short base $b = 70\, \text{mm}$ and height $h = 140\, \text{mm}$. | 5 |
| 627 | Find the long base $ a $ of a trapezoid if long base $a = 10176\, \text{mm}$, short base $b = 4950\, \text{mm}$ and height $h = 2626\, \text{mm}$. | 5 |
| 628 | Find the long base $ a $ of a trapezoid if long base $a = 29.94\, \text{mm}$, short base $b = 27.48\, \text{mm}$ and height $h = 19.62\, \text{mm}$. | 5 |
| 629 | Find the diagonal $ d $ of a trapezoid if long base $a = 10\, \text{mm}$, height $h = 6\, \text{mm}$ and area $A = 52\, \text{mm}^2$. | 5 |
| 630 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 13\, \text{mm}$ and height $h = 17\, \text{mm}$. | 5 |
| 631 | Find the perimeter $ P $ of a trapezoid if long base $a = 152\, \text{mm}$, short base $b = 116\, \text{mm}$ and height $h = 60\, \text{mm}$. | 5 |
| 632 | Find the median $ m $ of a trapezoid if long base $a = 152\, \text{mm}$, short base $b = 116\, \text{mm}$ and height $h = 60\, \text{mm}$. | 5 |
| 633 | Find the height $ h $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 3.5\, \text{mm}$ and angle $\alpha = 60^o$. | 5 |
| 634 | Find the angle $ \beta $ of a trapezoid if long base $a = 74\, \text{cm}$, short base $b = 56\, \text{cm}$ and side $c = 24\, \text{cm}$. | 5 |
| 635 | Find the short base $ b $ of a trapezoid if long base $a = 5.75\, \text{in}$, height $h = \frac{ 5 }{ 8 }\, \text{in}$ and angle $\alpha = 70.5^o$. | 5 |
| 636 | Find the long base $ a $ of a trapezoid if long base $a = 103.5\, \text{in}$, short base $b = 56.5\, \text{in}$ and height $h = 24\, \text{in}$. | 5 |
| 637 | Find the side $ c $ of a trapezoid if long base $a = 103.5\, \text{in}$, short base $b = 56.5\, \text{in}$ and height $h = 24\, \text{in}$. | 5 |
| 638 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{in}$, side $c = 5.87\, \text{in}$ and height $h = 6\, \text{in}$. | 5 |
| 639 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 5 |
| 640 | Find the side $ c $ of a trapezoid if long base $a = 10\, \text{in}$, height $h = 2\, \text{in}$ and angle $\alpha = 30^o$. | 5 |
| 641 | Find the short base $ b $ of a trapezoid if long base $a = 4.5\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 72^o$. | 5 |
| 642 | Find the long base $ a $ of a trapezoid if long base $a = 200\, \text{mm}$, short base $b = 50\, \text{mm}$, side $c = 130\, \text{mm}$ and diagonal $d = 140\, \text{mm}$. | 5 |
| 643 | Find the diagonal $ d $ of a trapezoid if long base $a = 1250\, \text{mm}$, short base $b = 800\, \text{mm}$ and side $c = 936\, \text{mm}$. | 5 |
| 644 | Find the long base $ a $ of a trapezoid if side $c = 2.875\, \text{in}$. | 5 |
| 645 | Find the long base $ a $ of a trapezoid if long base $a = 1250\, \text{mm}$, short base $b = 800\, \text{mm}$ and side $c = 936\, \text{mm}$. | 4 |
| 646 | Find the long base $ a $ of a trapezoid if long base $a = 1250\, \text{cm}$, short base $b = 800\, \text{cm}$, side $c = 936\, \text{cm}$ and diagonal $d = 1438\, \text{cm}$. | 4 |
| 647 | Find the long base $ a $ of a trapezoid if short base $b = 187.22\, \text{mm}$, height $h = 300\, \text{mm}$ and angle $\beta = 94.5^o$. | 4 |
| 648 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{mm}$, height $h = 15\, \text{mm}$, angle $\alpha = 86^o$ and angle $\beta = 94^o$. | 4 |
| 649 | Find the side $ c $ of a trapezoid if long base $a = 0.28\, \text{m}$, short base $b = 0.13\, \text{m}$ and height $h = 0.53\, \text{m}$. | 4 |
| 650 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 16\, \text{mm}$ and median $m = 26\, \text{mm}$. | 4 |
