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 $a = 70.583\, \text{ft}$, short base $b = 52.75\, \text{ft}$ and side $c = 23.25\, \text{ft}$. | 4 |
| 602 | Find the long base $ a $ of a trapezoid if short base $b = 59\, \text{cm}$, side $c = 27\, \text{cm}$ and angle $\alpha = 45^o$. | 4 |
| 603 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{mm}$, side $c = 1\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 604 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{ft}$ and side $c = 6\, \text{ft}$. | 4 |
| 605 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{ft}$, side $c = 6\, \text{ft}$ and diagonal $d = 136\, \text{in}$. | 4 |
| 606 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{ft}$, side $c = 6\, \text{ft}$ and diagonal $d = 11\, \text{ft}$. | 4 |
| 607 | Find the long base $ a $ of a trapezoid if short base $b = 18\, \text{mm}$, height $h = 9\, \text{mm}$ and angle $\alpha = 45^o$. | 4 |
| 608 | Find the long base $ a $ of a trapezoid if short base $b = 642\, \text{mm}$ and angle $\alpha = 66.2^o$. | 4 |
| 609 | Find the side $ c $ of a trapezoid if long base $a = 4\, \text{ft}$, short base $b = 2.5\, \text{ft}$ and height $h = 1\, \text{ft}$. | 4 |
| 610 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 4\, \text{mm}$ and angle $\alpha = 90^o$. | 4 |
| 611 | 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 $\beta = 45^o$. | 4 |
| 612 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 37.33\, \text{in}$ and height $h = 6\, \text{in}$. | 4 |
| 613 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{cm}$, short base $b = 50\, \text{cm}$, height $h = 50\, \text{cm}$ and angle $\alpha = 79^o$. | 4 |
| 614 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{cm}$, short base $b = 50\, \text{cm}$ and height $h = 50\, \text{cm}$. | 4 |
| 615 | Find the long base $ a $ of a trapezoid if height $h = 925\, \text{mm}$, median $m = 1246\, \text{mm}$ and angle $\alpha = 17^o$. | 4 |
| 616 | Find the long base $ a $ of a trapezoid if long base $a = 2.5\, \text{in}$, side $c = 5.25\, \text{in}$ and angle $\alpha = 2^o$. | 4 |
| 617 | Find the long base $ a $ of a trapezoid if long base $a = 3.5\, \text{mm}$, short base $b = 1.5\, \text{mm}$ and height $h = 4\, \text{mm}$. | 4 |
| 618 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{m}$, height $h = 2.5\, \text{m}$ and area $A = 3\, \text{mm}^2$. | 4 |
| 619 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{m}$, height $h = 2.5\, \text{m}$, area $A = 3\, \text{m}^2$ and angle $\alpha = 78.232^o$. | 4 |
| 620 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{m}$, short base $b = 22\, \text{m}$ and height $h = 2.5\, \text{m}$. | 4 |
| 621 | Find the angle $ \alpha $ of a trapezoid if long base $a = 92.5\, \text{mm}$, short base $b = 38\, \text{mm}$, side $c = 59\, \text{mm}$ and diagonal $d = 70\, \text{mm}$. | 4 |
| 622 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{mi}$, short base $b = 2.25\, \text{cm}$ and side $c = 24\, \text{cm}$. | 4 |
| 623 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{cm}$, side $c = 24\, \text{cm}$, height $h = 23.875\, \text{cm}$ and angle $\alpha = 84^o$. | 4 |
| 624 | Find the long base $ a $ of a trapezoid if short base $b = 9\, \text{ft}$, height $h = 6\, \text{ft}$, angle $\alpha = 146^o$ and angle $\beta = 34^o$. | 4 |
| 625 | Find the long base $ a $ of a trapezoid if long base $a = 58.5\, \text{in}$, short base $b = 48.25\, \text{in}$ and side $c = 35.375\, \text{in}$. | 4 |
| 626 | Find the long base $ a $ of a trapezoid if long base $a = 1100\, \text{mm}$, short base $b = 290\, \text{mm}$ and height $h = 450\, \text{mm}$. | 4 |
| 627 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{ft}$, short base $b = 4\, \text{ft}$ and height $h = 12\, \text{ft}$. | 4 |
| 628 | Find the angle $ \beta $ of a trapezoid if long base $a = 10\, \text{ft}$, short base $b = 4\, \text{ft}$ and height $h = 12\, \text{ft}$. | 4 |
| 629 | Find the long base $ a $ of a trapezoid if height $h = 12\, \text{ft}$ and angle $\alpha = 45^o$. | 4 |
| 630 | Find the long base $ a $ of a trapezoid if short base $b = 3.5\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 4 |
| 631 | Find the diagonal $ d $ of a trapezoid if long base $a = 264\, \text{in}$, short base $b = 144\, \text{in}$ and side $c = 298\, \text{in}$. | 4 |
| 632 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{dm}$, short base $b = 29\, \text{cm}$ and height $h = 24\, \text{cm}$. | 4 |
| 633 | Find the long base $ a $ of a trapezoid if angle $\alpha = 52^o$ and angle $\beta = 128^o$. | 4 |
| 634 | Find the side $ c $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 12\, \text{mm}$ and height $h = 4\, \text{mm}$. | 4 |
| 635 | Find the side $ c $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 4\, \text{in}$. | 4 |
| 636 | Find the side $ c $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 17\, \text{in}$, height $h = 42\, \text{in}$ and angle $\beta = 75^o$. | 4 |
| 637 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{ft}$, height $h = 4\, \text{ft}$ and angle $\alpha = 45^o$. | 4 |
| 638 | Find the short base $ b $ of a trapezoid if long base $a = 15\, \text{ft}$, height $h = 4\, \text{ft}$ and angle $\alpha = 45^o$. | 4 |
| 639 | Find the side $ c $ of a trapezoid if long base $a = 15\, \text{ft}$, height $h = 4\, \text{ft}$ and angle $\alpha = 45^o$. | 4 |
| 640 | Find the long base $ a $ of a trapezoid if short base $b = 54\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 112^o$. | 4 |
| 641 | Find the angle $ \beta $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 5.5\, \text{in}$, side $c = 5.5\, \text{in}$ and height $h = 5.3\, \text{mm}$. | 4 |
| 642 | Find the angle $ \beta $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 5.5\, \text{in}$ and side $c = 5.5\, \text{in}$. | 4 |
| 643 | Find the long base $ a $ of a trapezoid if long base $a = 13.5\, \text{in}$, short base $b = 11\, \text{mm}$ and side $c = 12\, \text{mm}$. | 4 |
| 644 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{ft}$, short base $b = 8\, \text{ft}$ and height $h = 8\, \text{ft}$. | 4 |
| 645 | Find the long base $ a $ of a trapezoid if long base $a = 21\, \text{in}$ and height $h = 12\, \text{in}$. | 4 |
| 646 | Find the height $ h $ of a trapezoid if long base $a = 95\, \text{in}$, short base $b = 72\, \text{in}$ and side $c = 24\, \text{in}$. | 4 |
| 647 | Find the diagonal $ d $ of a trapezoid if long base $a = 72.625\, \text{mm}$, short base $b = 38.5\, \text{mm}$ and height $h = 45\, \text{mm}$. | 4 |
| 648 | Find the long base $ a $ of a trapezoid if short base $b = 14.6875\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 4 |
| 649 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, height $h = 18\, \text{mm}$ and angle $\alpha = 22.5^o$. | 4 |
| 650 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 6\, \text{mm}$, side $c = 9\, \text{mm}$ and height $h = 8\, \text{mm}$. | 4 |
