Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 701 | Find the diagonal $ d $ of a trapezoid if long base $a = 105\, \text{in}$, short base $b = 16\, \text{in}$, height $h = 72\, \text{in}$, area $A = 4356\, \text{in}^2$ and perimeter $P = 290.3\, \text{in}$. | 4 |
| 702 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{m}$, height $h = 0.335\, \text{m}$ and angle $\alpha = 33.69^o$. | 4 |
| 703 | Find the long base $ a $ of a trapezoid if long base $a = 140\, \text{mm}$, short base $b = 70\, \text{mm}$ and height $h = 140\, \text{mm}$. | 4 |
| 704 | Find the long base $ a $ of a trapezoid if long base $a = 10.5\, \text{mm}$, short base $b = 10\, \text{mm}$, side $c = 1.5\, \text{mm}$ and diagonal $d = 5\, \text{mm}$. | 4 |
| 705 | Find the long base $ a $ of a trapezoid if long base $a = 10176\, \text{mm}$ and short base $b = 4950\, \text{mm}$. | 4 |
| 706 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 5 \sqrt{ 2 }\, \text{mm}$, side $c = 5\, \text{mm}$, diagonal $d = 5 \sqrt{ 2 }\, \text{mm}$ and angle $\alpha = 90^o$. | 4 |
| 707 | Find the angle $ \alpha $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 90.75\, \text{in}$. | 4 |
| 708 | Find the angle $ \beta $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 90.75\, \text{in}$. | 4 |
| 709 | Find the long base $ a $ of a trapezoid if long base $a = 1206\, \text{ft}$, height $h = 247\, \text{ft}$, angle $\alpha = 52^o$ and angle $\beta = 52^o$. | 4 |
| 710 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{ft}$, short base $b = 1.5\, \text{ft}$ and height $h = 2\, \text{ft}$. | 4 |
| 711 | Find the angle $ \beta $ of a trapezoid if long base $a = 170\, \text{mm}$, short base $b = 130\, \text{mm}$ and height $h = 170\, \text{mm}$. | 4 |
| 712 | Find the angle $ \beta $ of a trapezoid if long base $a = 170\, \text{mm}$, short base $b = 90\, \text{mm}$ and height $h = 170\, \text{mm}$. | 4 |
| 713 | Find the long base $ a $ of a trapezoid if short base $b = 1.52\, \text{cm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 4 |
| 714 | Find the long base $ a $ of a trapezoid if long base $a = 152\, \text{mm}$, short base $b = 116\, \text{mm}$, height $h = 60\, \text{mm}$ and area $A = 8040\, \text{mm}^2$. | 4 |
| 715 | Find the long base $ a $ of a trapezoid if long base $a = 152\, \text{mm}$, short base $b = 116\, \text{mm}$ and height $h = 60\, \text{mm}$. | 4 |
| 716 | Find the diagonal $ d $ of a trapezoid if long base $a = 1067\, \text{mm}$, height $h = 6\, \text{mm}$ and area $A = 52\, \text{mm}^2$. | 4 |
| 717 | Find the long base $ a $ of a trapezoid if ???. | 4 |
| 718 | Find the long base $ a $ of a trapezoid if long base $a = 70.5\, \text{in}$, short base $b = 2.75\, \text{in}$ and height $h = \frac{ 5 }{ 8 }\, \text{in}$. | 4 |
| 719 | Find the long base $ a $ of a trapezoid if short base $b = 2.75\, \text{in}$, height $h = \frac{ 5 }{ 8 }\, \text{in}$ and angle $\alpha = 70.5^o$. | 4 |
| 720 | Find the long base $ a $ of a trapezoid if long base $a = 5.75\, \text{mm}$, height $h = \frac{ 5 }{ 8 }\, \text{in}$ and angle $\alpha = 70.5^o$. | 4 |
| 721 | Find the long base $ a $ of a trapezoid if short base $b = 1440\, \text{mm}$, side $c = 660\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 20^o$. | 4 |
| 722 | Find the long base $ a $ of a trapezoid if long base $a = 93\, \text{in}$, diagonal $d = 103\, \text{in}$ and height $h = 48\, \text{in}$. | 4 |
| 723 | Find the diagonal $ d $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 12\, \text{in}$, side $c = 46\, \text{mm}$ and angle $\alpha = 90^o$. | 4 |
| 724 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{mm}$, short base $b = 12\, \text{mm}$ and height $h = 46\, \text{mm}$. | 4 |
| 725 | Find the short base $ b $ of a trapezoid if long base $a = 0.734\, \text{in}$, height $h = 0.064\, \text{in}$ and angle $\alpha = 56^o$. | 4 |
| 726 | Find the long base $ a $ of a trapezoid if side $c = 6\, \text{mm}$, height $h = 3 \sqrt{ 2 }\, \text{mm}$, area $A = 30\, \text{mm}^2$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 727 | Find the long base $ a $ of a trapezoid if short base $b = 11\, \text{cm}$, height $h = 1.5\, \text{cm}$, angle $\alpha = 15^o$ and angle $\beta = 105^o$. | 4 |
| 728 | Find the long base $ a $ of a trapezoid if short base $b = 11\, \text{cm}$, height $h = 1.5\, \text{cm}$ and angle $\alpha = 15^o$. | 4 |
| 729 | Find the long base $ a $ of a trapezoid if long base $a = 70.375\, \text{in}$, angle $\alpha = 22.5^o$ and angle $\beta = 157.5^o$. | 4 |
| 730 | Find the long base $ a $ of a trapezoid if long base $a = 128\, \text{mm}$. | 4 |
| 731 | Find the long base $ a $ of a trapezoid if long base $a = 3.5\, \text{in}$, side $c = 29\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 4 |
| 732 | Find the long base $ a $ of a trapezoid if long base $a = 3.5\, \text{in}$, side $c = 29\, \text{in}$, height $h = 28\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 4 |
| 733 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{ft}$ and short base $b = 14\, \text{ft}$. | 4 |
| 734 | Find the long base $ a $ of a trapezoid if long base $a = 26\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 4 |
| 735 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{ft}$, short base $b = 34.44\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 4 |
| 736 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{ft}$, short base $b = 34.44\, \text{ft}$ and angle $\alpha = 90^o$. | 4 |
| 737 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{ft}$, short base $b = 34.44\, \text{ft}$ and angle $\alpha = 103^o$. | 4 |
| 738 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 18\, \text{in}$, height $h = 48\, \text{in}$ and angle $\alpha = 80^o$. | 4 |
| 739 | Find the height $ h $ of a trapezoid if long base $a = 1.19\, \text{mm}$, short base $b = 0.34\, \text{mm}$ and area $A = 0.36\, \text{mm}^2$. | 4 |
| 740 | Find the angle $ \alpha $ of a trapezoid if long base $a = 18.5\, \text{in}$, short base $b = 16.5\, \text{in}$ and height $h = 6\, \text{in}$. | 4 |
| 741 | Find the long base $ a $ of a trapezoid if long base $a = 10.75\, \text{in}$, short base $b = 22.75\, \text{mm}$ and height $h = 15\, \text{in}$. | 4 |
| 742 | Find the long base $ a $ of a trapezoid if long base $a = 150\, \text{in}$, height $h = 63\, \text{in}$, angle $\alpha = 25^o$ and angle $\beta = 25^o$. | 4 |
| 743 | Find the long base $ a $ of a trapezoid if long base $a = 150\, \text{in}$, height $h = 63\, \text{in}$ and angle $\alpha = 25^o$. | 4 |
| 744 | Find the long base $ a $ of a trapezoid if long base $a = 150\, \text{mm}$, height $h = 63\, \text{mm}$ and angle $\alpha = 65^o$. | 4 |
| 745 | Find the long base $ a $ of a trapezoid if long base $a = 2.625\, \text{in}$ and height $h = 0.75\, \text{mm}$. | 4 |
| 746 | Find the long base $ a $ of a trapezoid if side $c = 5.1\, \text{mm}$, height $h = 3.1\, \text{mm}$ and area $A = 11.78\, \text{mm}^2$. | 4 |
| 747 | Find the long base $ a $ of a trapezoid if short base $b = 5.1\, \text{mm}$, height $h = 3.1\, \text{mm}$ and area $A = 11.78\, \text{mm}^2$. | 4 |
| 748 | Find the long base $ a $ of a trapezoid if height $h = 10\, \text{ft}$, angle $\alpha = 8^o$ and angle $\beta = 8^o$. | 4 |
| 749 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{ft}$, height $h = 10\, \text{ft}$ and angle $\beta = 8^o$. | 4 |
| 750 | Find the long base $ a $ of a trapezoid if perimeter $P = 480\, \text{mm}$. | 4 |
