Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 7701 | Find the long base $ a $ of a trapezoid if short base $b = 17\, \text{ft}$, side $c = 30\, \text{ft}$ and height $h = 15\, \text{ft}$. | 2 |
| 7702 | Find the long base $ a $ of a trapezoid if long base $a = 256\, \text{ft}$, side $c = 32.75\, \text{ft}$ and height $h = 14\, \text{ft}$. | 2 |
| 7703 | Find the long base $ a $ of a trapezoid if short base $b = 256\, \text{ft}$, side $c = 32.75\, \text{ft}$ and height $h = 14\, \text{ft}$. | 2 |
| 7704 | Find the short base $ b $ of a trapezoid if long base $a = 6.5\, \text{in}$, height $h = 5.875\, \text{in}$ and angle $\alpha = 82.5^o$. | 2 |
| 7705 | Find the long base $ a $ of a trapezoid if long base $a = 125\, \text{mm}$, height $h = 34\, \text{mm}$ and angle $\beta = 3^o$. | 2 |
| 7706 | Find the short base $ b $ of a trapezoid if long base $a = 125\, \text{mm}$, height $h = 34\, \text{mm}$ and angle $\beta = 3^o$. | 2 |
| 7707 | Find the short base $ b $ of a trapezoid if long base $a = 125\, \text{mm}$, height $h = 34\, \text{mm}$ and angle $\alpha = 3^o$. | 2 |
| 7708 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 5\, \text{mm}$ and diagonal $d = 8\, \text{mm}$. | 2 |
| 7709 | Find the area $ A $ of a trapezoid if short base $b = 7\, \text{mm}$, height $h = 5\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 7710 | Find the long base $ a $ of a trapezoid if short base $b = 9\, \text{cm}$ and height $h = 14.8\, \text{cm}$. | 1 |
| 7711 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 8\, \text{mm}$ and area $A = 40\, \text{mm}^2$. | 1 |
| 7712 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 36\, \text{in}$ and height $h = 27\, \text{in}$. | 1 |
| 7713 | Find the long base $ a $ of a trapezoid if long base $a = 2590\, \text{mm}$, short base $b = 1500\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7714 | Find the side $ c $ of a trapezoid if long base $a = 2590\, \text{mm}$, height $h = 2940\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 7715 | Find the long base $ a $ of a trapezoid if long base $a = 107\, \text{cm}$, short base $b = 134\, \text{mm}$, side $c = 237\, \text{cm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7716 | Find the side $ c $ of a trapezoid if long base $a = 7.25\, \text{in}$, short base $b = 3.25\, \text{in}$ and height $h = 16.5\, \text{in}$. | 1 |
| 7717 | Find the angle $ \alpha $ of a trapezoid if long base $a = 7.25\, \text{in}$, short base $b = 3.25\, \text{in}$ and height $h = 16.5\, \text{in}$. | 1 |
| 7718 | Find the long base $ a $ of a trapezoid if short base $b = 5\, \text{mm}$, height $h = 3\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 7719 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{m}$, side $c = 2.4\, \text{m}$ and height $h = 0.8\, \text{m}$. | 1 |
| 7720 | Find the long base $ a $ of a trapezoid if long base $a = 7.25\, \text{in}$, height $h = 9.75\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7721 | Find the short base $ b $ of a trapezoid if long base $a = 7.25\, \text{in}$, height $h = 9.75\, \text{in}$ and angle $\alpha = 90^o$. | 1 |
| 7722 | Find the short base $ b $ of a trapezoid if long base $a = 7.25\, \text{in}$, height $h = 9.75\, \text{in}$ and angle $\alpha = 83^o$. | 1 |
| 7723 | Find the short base $ b $ of a trapezoid if long base $a = 7.25\, \text{in}$, height $h = 5.875\, \text{in}$ and angle $\alpha = 83^o$. | 1 |
| 7724 | Find the long base $ a $ of a trapezoid if long base $a = 29\, \text{mm}$, height $h = 9\, \text{mm}$ and area $A = 193.5\, \text{mm}^2$. | 1 |
| 7725 | Find the short base $ b $ of a trapezoid if long base $a = 29\, \text{mm}$, height $h = 9\, \text{mm}$ and area $A = 193.5\, \text{mm}^2$. | 1 |
| 7726 | Find the height $ h $ of a trapezoid if long base $a = 21\, \text{mm}$, short base $b = 8\, \text{mm}$ and area $A = 166.75\, \text{mm}^2$. | 1 |
| 7727 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{mm}$, side $c = 6\, \text{mm}$, height $h = 5.196\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 7728 | Find the long base $ a $ of a trapezoid if long base $a = 139\, \text{mm}$, short base $b = 56\, \text{mm}$, side $c = 42\, \text{mm}$ and diagonal $d = 42\, \text{mm}$. | 1 |
| 7729 | Find the long base $ a $ of a trapezoid if long base $a = 38\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 7730 | Find the height $ h $ of a trapezoid if long base $a = 13\, \text{cm}$, side $c = 5\, \text{mm}$ and area $A = 27\, \text{mm}^2$. | 1 |
| 7731 | Find the diagonal $ d $ of a trapezoid if long base $a = 59.5\, \text{in}$, height $h = 41.5\, \text{in}$, area $A = 52\, \text{in}^2$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7732 | Find the long base $ a $ of a trapezoid if long base $a = 33\, \text{cm}$, short base $b = 27\, \text{cm}$ and area $A = 1350\, \text{cm}^2$. | 1 |
| 7733 | Find the long base $ a $ of a trapezoid if short base $b = 53.5\, \text{in}$, side $c = 22\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 7734 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{ft}$, short base $b = 10\, \text{ft}$, side $c = \sqrt{ 200 }\, \text{ft}$ and height $h = 10\, \text{ft}$. | 1 |
| 7735 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{cm}$, short base $b = 7\, \text{cm}$ and side $c = 10\, \text{mm}$. | 1 |
| 7736 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{cm}$, short base $b = 7\, \text{cm}$ and height $h = 10\, \text{mm}$. | 1 |
| 7737 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{cm}$, short base $b = 7\, \text{cm}$ and height $h = 10\, \text{cm}$. | 1 |
| 7738 | Find the area $ A $ of a trapezoid if long base $a = 13\, \text{cm}$, short base $b = 7\, \text{cm}$ and height $h = 10\, \text{cm}$. | 1 |
| 7739 | Find the long base $ a $ of a trapezoid if long base $a = 4.5\, \text{in}$, short base $b = 2.5\, \text{in}$ and height $h = 96\, \text{in}$. | 1 |
| 7740 | Find the long base $ a $ of a trapezoid if long base $a = 4.5\, \text{in}$, short base $b = 2.5\, \text{in}$ and height $h = 96\, \text{in}$. | 1 |
| 7741 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{ft}$, short base $b = 20\, \text{ft}$ and height $h = 12\, \text{ft}$. | 1 |
| 7742 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{cm}$, short base $b = 11\, \text{cm}$ and height $h = 4\, \text{cm}$. | 1 |
| 7743 | Find the long base $ a $ of a trapezoid if height $h = 9.75\, \text{mm}$ and angle $\alpha = 83^o$. | 1 |
| 7744 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{in}$, height $h = 9.75\, \text{in}$ and angle $\alpha = 83^o$. | 1 |
| 7745 | Find the short base $ b $ of a trapezoid if long base $a = 6\, \text{in}$, height $h = 9.75\, \text{in}$ and angle $\alpha = 83^o$. | 1 |
| 7746 | Find the short base $ b $ of a trapezoid if long base $a = 6\, \text{in}$, height $h = 5.875\, \text{in}$ and angle $\alpha = 83^o$. | 1 |
| 7747 | Find the long base $ a $ of a trapezoid if long base $a = 28\, \text{cm}$ and median $m = 20\, \text{mm}$. | 1 |
| 7748 | Find the short base $ b $ of a trapezoid if long base $a = 6\, \text{mm}$, height $h = 11.25\, \text{in}$ and angle $\alpha = 83^o$. | 1 |
| 7749 | Find the long base $ a $ of a trapezoid if long base $a = 1000\, \text{mm}$, short base $b = 528\, \text{mm}$, side $c = 718\, \text{mm}$ and diagonal $d = 612\, \text{mm}$. | 1 |
| 7750 | Find the long base $ a $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 528\, \text{mm}$ and side $c = 728\, \text{mm}$. | 1 |
