Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1801 | Find the long base $ a $ of a trapezoid if short base $b = 27$, height $h = 11$ and area $A = 209$. | 3 |
| 1802 | Find the area $ A $ of a trapezoid if long base $a = 18$, short base $b = 30$ and height $h = 7$. | 3 |
| 1803 | Find the long base $ a $ of a trapezoid if long base $a = 17$, short base $b = 15$ and height $h = \frac{ 35 }{ 2 }$. | 3 |
| 1804 | Find the short base $ b $ of a trapezoid if long base $a = 200$, side $c = 50$ and area $A = 10000$. | 3 |
| 1805 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 114943 }{ 500 }$, side $c = \frac{ 49789 }{ 250 }$ and angle $\alpha = 75^o$. | 3 |
| 1806 | Find the side $ c $ of a trapezoid if long base $a = 5$, short base $b = 1$ and angle $\beta = 45^o$. | 3 |
| 1807 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 973 }{ 100 }$, height $h = 3$ and angle $\alpha = 76^o$. | 3 |
| 1808 | Find the long base $ a $ of a trapezoid if long base $a = 55$, short base $b = 30$ and side $c = 15$. | 3 |
| 1809 | Find the of a trapezoid if long base $a = 51$, short base $b = 47$ and side $c = 46$. | 3 |
| 1810 | Find the angle $ \beta $ of a trapezoid if long base $a = 51$, short base $b = 47$ and side $c = 46$. | 3 |
| 1811 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 183 }{ 10 }$, short base $b = \frac{ 84 }{ 5 }$, height $h = \frac{ 147 }{ 10 }$, angle $\alpha = 3^o$ and angle $\beta = 177^o$. | 3 |
| 1812 | Find the angle $ \alpha $ of a trapezoid if long base $a = 72.5\, \text{in}$, short base $b = 67\, \text{in}$ and height $h = 81.25\, \text{in}$. | 3 |
| 1813 | Find the median $ m $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 8.24\, \text{in}$ and side $c = 24\, \text{in}$. | 3 |
| 1814 | Find the area $ A $ of a trapezoid if long base $a = 75\, \text{mm}$, short base $b = 66\, \text{mm}$ and height $h = 94\, \text{mm}$. | 3 |
| 1815 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{m}$, side $c = 7\, \text{cm}$ and angle $\alpha = 60^o$. | 3 |
| 1816 | Find the short base $ b $ of a trapezoid if long base $a = 127\, \text{mm}$, height $h = 9525\, \text{mm}$ and angle $\alpha = 76^o$. | 3 |
| 1817 | Find the long base $ a $ of a trapezoid if long base $a = 2.2\, \text{mm}$, short base $b = 3.3\, \text{mm}$ and side $c = 3\, \text{mm}$. | 3 |
| 1818 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{cm}$, side $c = 7\, \text{cm}$ and angle $\alpha = 70^o$. | 3 |
| 1819 | Find the long base $ a $ of a trapezoid if long base $a = 55\, \text{mm}$, side $c = 44\, \text{mm}$ and angle $\alpha = 90^o$. | 3 |
| 1820 | Find the long base $ a $ of a trapezoid if long base $a = 7.5\, \text{in}$, short base $b = 1\, \text{in}$ and angle $\alpha = 107^o$. | 3 |
| 1821 | Find the side $ c $ of a trapezoid if long base $a = 96\, \text{in}$ and height $h = 96\, \text{in}$. | 3 |
| 1822 | Find the long base $ a $ of a trapezoid if short base $b = 9.75\, \text{in}$, height $h = 5.5\, \text{in}$ and angle $\beta = 100^o$. | 3 |
| 1823 | Find the side $ c $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 52\, \text{in}$ and height $h = 26\, \text{in}$. | 3 |
| 1824 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, side $c = 5\, \text{mm}$, diagonal $d = \sqrt{ 75 }\, \text{mm}$ and angle $\beta = 90^o$. | 3 |
| 1825 | Find the angle $ \alpha $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 8\, \text{in}$ and side $c = 36\, \text{in}$. | 3 |
| 1826 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mm}$, short base $b = 5.5\, \text{cm}$ and side $c = 4.7\, \text{cm}$. | 3 |
| 1827 | Find the median $ m $ of a trapezoid if long base $a = 6.75\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 83^o$. | 3 |
| 1828 | Find the long base $ a $ of a trapezoid if long base $a = 1500\, \text{mm}$, short base $b = 2000\, \text{mm}$ and side $c = 1800\, \text{mm}$. | 3 |
| 1829 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 2\, \text{in}$ and angle $\alpha = 45^o$. | 3 |
| 1830 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 2\, \text{in}$ and angle $\alpha = 45^o$. | 3 |
| 1831 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{in}$, short base $b = 12\, \text{in}$, height $h = 2\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 3 |
| 1832 | Find the angle $ \alpha $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 27\, \text{in}$. | 3 |
| 1833 | Find the perimeter $ P $ of a trapezoid if long base $a = 0.205\, \text{in}$, short base $b = 0.135\, \text{in}$ and height $h = 0.514\, \text{in}$. | 3 |
| 1834 | Find the angle $ \beta $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 4\, \text{in}$. | 3 |
| 1835 | Find the long base $ a $ of a trapezoid if long base $a = 36.25\, \text{mm}$, short base $b = 36.5\, \text{mm}$ and angle $\alpha = 89.5^o$. | 3 |
| 1836 | Find the side $ c $ of a trapezoid if long base $a = 210\, \text{ft}$, short base $b = 150\, \text{ft}$ and height $h = 60\, \text{ft}$. | 3 |
| 1837 | Find the long base $ a $ of a trapezoid if long base $a = 41\, \text{mm}$, side $c = 28\, \text{in}$ and height $h = 25.75\, \text{in}$. | 3 |
| 1838 | Find the long base $ a $ of a trapezoid if long base $a = 135.25\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 94\, \text{in}$. | 3 |
| 1839 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3\, \text{ft}$ and height $h = 6\, \text{ft}$. | 3 |
| 1840 | Find the angle $ \alpha $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3\, \text{ft}$ and height $h = 6\, \text{ft}$. | 3 |
| 1841 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 57^o$. | 3 |
| 1842 | Find the long base $ a $ of a trapezoid if long base $a = 4793\, \text{mm}$, short base $b = 4807\, \text{mm}$ and side $c = 3035\, \text{mm}$. | 3 |
| 1843 | Find the short base $ b $ of a trapezoid if long base $a = 22\, \text{mm}$, side $c = 7\, \text{mm}$ and diagonal $d = 20.68\, \text{mm}$. | 3 |
| 1844 | Find the long base $ a $ of a trapezoid if ???. | 3 |
| 1845 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{ft}$, short base $b = 10\, \text{cm}$ and side $c = 6\, \text{cm}$. | 3 |
| 1846 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{ft}$, short base $b = 1\, \text{cm}$ and height $h = 4\, \text{cm}$. | 3 |
| 1847 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{cm}$, height $h = 23.875\, \text{cm}$ and angle $\alpha = 6.12^o$. | 3 |
| 1848 | Find the short base $ b $ of a trapezoid if long base $a = 2\, \text{mm}$, height $h = 2.5\, \text{mm}$ and angle $\alpha = 82.6^o$. | 3 |
| 1849 | Find the long base $ a $ of a trapezoid if long base $a = 41\, \text{mm}$, short base $b = 30\, \text{cm}$ and side $c = 10\, \text{cm}$. | 3 |
| 1850 | Find the long base $ a $ of a trapezoid if short base $b = 18\, \text{cm}$, side $c = 11\, \text{cm}$ and angle $\beta = 45^o$. | 3 |
