Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 4801 | Find the long base $ a $ of a trapezoid if height $h = 222\, \text{mm}$, angle $\alpha = 21.8^o$ and angle $\beta = 158.2^o$. | 2 |
| 4802 | Find the long base $ a $ of a trapezoid if height $h = 222.7\, \text{mm}$, angle $\alpha = 21.8^o$ and angle $\beta = 158.2^o$. | 2 |
| 4803 | Find the side $ c $ of a trapezoid if long base $a = 1660\, \text{mm}$, short base $b = 1520\, \text{mm}$ and diagonal $d = 2360\, \text{mm}$. | 2 |
| 4804 | Find the short base $ b $ of a trapezoid if long base $a = 309\, \text{mm}$ and height $h = 70\, \text{mm}$. | 2 |
| 4805 | Find the short base $ b $ of a trapezoid if long base $a = 309\, \text{mm}$, height $h = 70\, \text{mm}$ and area $A = 60\, \text{mm}^2$. | 2 |
| 4806 | Find the short base $ b $ of a trapezoid if long base $a = 230\, \text{mm}$, short base $b = 192.5\, \text{mm}$ and height $h = 134.5\, \text{mm}$. | 2 |
| 4807 | Find the diagonal $ d $ of a trapezoid if long base $a = 21\, \text{mm}$, short base $b = 15\, \text{mm}$ and median $m = 18\, \text{mm}$. | 2 |
| 4808 | Find the perimeter $ P $ of a trapezoid if long base $a = 21\, \text{cm}$, short base $b = 15\, \text{cm}$ and median $m = 18\, \text{cm}$. | 2 |
| 4809 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{ft}$, short base $b = 24\, \text{ft}$ and side $c = 16\, \text{ft}$. | 2 |
| 4810 | Find the long base $ a $ of a trapezoid if long base $a = 816\, \text{mm}$, angle $\alpha = 31.82^o$ and angle $\beta = 148.18^o$. | 2 |
| 4811 | Find the side $ c $ of a trapezoid if long base $a = 25.5\, \text{in}$, short base $b = 28.5\, \text{in}$ and height $h = 25\, \text{mm}$. | 2 |
| 4812 | Find the long base $ a $ of a trapezoid if long base $a = 54.5\, \text{in}$ and angle $\alpha = 75^o$. | 2 |
| 4813 | Find the long base $ a $ of a trapezoid if long base $a = 54.5\, \text{in}$, height $h = 48\, \text{in}$ and angle $\alpha = 75^o$. | 2 |
| 4814 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 1\, \text{mm}$ and height $h = 3\, \text{mm}$. | 2 |
| 4815 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = 18\, \text{in}$ and height $h = 83\, \text{in}$. | 2 |
| 4816 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{mm}$, short base $b = 0.5\, \text{mm}$, side $c = 0.5\, \text{mm}$, height $h = 0.5\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 4817 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{mm}$, short base $b = 0.5\, \text{mm}$, side $c = 0.5\, \text{mm}$, height $h = 0.5\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4818 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{ft}$, side $c = 3.5\, \text{ft}$ and diagonal $d = 3.5\, \text{ft}$. | 2 |
| 4819 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{ft}$, side $c = 3.5\, \text{ft}$ and height $h = 0.5\, \text{ft}$. | 2 |
| 4820 | Find the long base $ a $ of a trapezoid if long base $a = 35\, \text{ft}$, side $c = 3.5\, \text{ft}$ and height $h = 0.5\, \text{ft}$. | 2 |
| 4821 | Find the short base $ b $ of a trapezoid if long base $a = 35\, \text{ft}$, side $c = 3.5\, \text{ft}$ and height $h = 0.5\, \text{ft}$. | 2 |
| 4822 | Find the long base $ a $ of a trapezoid if short base $b = 4.252\, \text{in}$, height $h = 2.375\, \text{in}$ and angle $\beta = 105^o$. | 2 |
| 4823 | Find the short base $ b $ of a trapezoid if long base $a = 4.252\, \text{in}$, height $h = 2.375\, \text{in}$ and angle $\alpha = 75^o$. | 2 |
| 4824 | Find the short base $ b $ of a trapezoid if long base $a = 4.252\, \text{in}$ and height $h = 2.375\, \text{in}$. | 2 |
| 4825 | Find the short base $ b $ of a trapezoid if long base $a = 4.252\, \text{in}$, height $h = 2.375\, \text{in}$ and angle $\alpha = 105^o$. | 2 |
| 4826 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$ and height $h = 7\, \text{mm}$. | 2 |
| 4827 | Find the long base $ a $ of a trapezoid if long base $a = 347.4\, \text{mm}$, short base $b = 270\, \text{mm}$ and side $c = 360\, \text{mm}$. | 2 |
| 4828 | Find the long base $ a $ of a trapezoid if short base $b = 16\, \text{mm}$ and side $c = 49\, \text{mm}$. | 2 |
| 4829 | Find the long base $ a $ of a trapezoid if long base $a = 45\, \text{ft}$, short base $b = 38\, \text{mm}$, side $c = 34\, \text{mm}$ and diagonal $d = 58\, \text{mm}$. | 2 |
| 4830 | Find the angle $ \alpha $ of a trapezoid if long base $a = 65\, \text{mm}$, short base $b = 55\, \text{mm}$ and height $h = 36\, \text{mm}$. | 2 |
| 4831 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$, height $h = 16\, \text{mm}$, angle $\alpha = 40^o$ and angle $\beta = 140^o$. | 2 |
| 4832 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{mm}$, height $h = 16\, \text{mm}$, angle $\alpha = 40^o$ and angle $\beta = 140^o$. | 2 |
| 4833 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{mm}$, angle $\alpha = 40^o$ and angle $\beta = 140^o$. | 2 |
| 4834 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{mm}$, height $h = 16\, \text{mm}$, angle $\alpha = 40^o$ and angle $\beta = 140^o$. | 2 |
| 4835 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{mm}$, side $c = 24.8916\, \text{mm}$, height $h = 16\, \text{mm}$ and angle $\alpha = 40^o$. | 2 |
| 4836 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{mm}$, side $c = 24.8916\, \text{mm}$ and height $h = 16\, \text{mm}$. | 2 |
| 4837 | Find the long base $ a $ of a trapezoid if short base $b = 40.375\, \text{in}$, side $c = 6.5\, \text{in}$ and height $h = 5.25\, \text{in}$. | 2 |
| 4838 | Find the short base $ b $ of a trapezoid if long base $a = 55.25\, \text{in}$, side $c = 6.5\, \text{in}$ and height $h = 5.25\, \text{in}$. | 2 |
| 4839 | Find the long base $ a $ of a trapezoid if short base $b = 440\, \text{mm}$, side $c = 520\, \text{mm}$ and diagonal $d = 670\, \text{mm}$. | 2 |
| 4840 | Find the height $ h $ of a trapezoid if long base $a = 540\, \text{mm}$, short base $b = 440\, \text{mm}$ and diagonal $d = 670\, \text{mm}$. | 2 |
| 4841 | Find the angle $ \alpha $ of a trapezoid if long base $a = 7000\, \text{mm}$, short base $b = 3000\, \text{mm}$ and height $h = 5400\, \text{mm}$. | 2 |
| 4842 | Find the side $ c $ of a trapezoid if long base $a = 7000\, \text{mm}$, short base $b = 3000\, \text{mm}$ and height $h = 5400\, \text{mm}$. | 2 |
| 4843 | Find the side $ c $ of a trapezoid if long base $a = 5\, \text{ft}$, side $c = 3\, \text{ft}$ and height $h = 3\, \text{ft}$. | 2 |
| 4844 | Find the long base $ a $ of a trapezoid if short base $b = 48.1\, \text{in}$, height $h = 2.95\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 4845 | Find the long base $ a $ of a trapezoid if short base $b = 48.1\, \text{in}$, height $h = 2.95\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 4846 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{mm}$ and short base $b = 6\, \text{mm}$. | 2 |
| 4847 | Find the area $ A $ of a trapezoid if long base $a = 6\, \text{mm}$ and short base $b = 4\, \text{mm}$. | 2 |
| 4848 | Find the angle $ \alpha $ of a trapezoid if long base $a = 9.125\, \text{in}$, short base $b = 8.25\, \text{in}$ and height $h = 38\, \text{in}$. | 2 |
| 4849 | Find the height $ h $ of a trapezoid if long base $a = 19.33\, \text{ft}$, short base $b = 16.33\, \text{ft}$ and angle $\beta = 100^o$. | 2 |
| 4850 | Find the height $ h $ of a trapezoid if long base $a = 22.34\, \text{ft}$, short base $b = 16.33\, \text{ft}$ and angle $\beta = 100^o$. | 2 |
