Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 2001 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 12\, \text{in}$, side $c = 14\, \text{in}$ and height $h = 8\, \text{in}$. | 3 |
| 2002 | Find the angle $ \alpha $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 12\, \text{in}$, side $c = 14\, \text{in}$ and height $h = 8\, \text{in}$. | 3 |
| 2003 | Find the angle $ \alpha $ of a trapezoid if long base $a = 44\, \text{in}$, short base $b = 14\, \text{in}$ and side $c = 56.25\, \text{in}$. | 3 |
| 2004 | Find the long base $ a $ of a trapezoid if long base $a = 7\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 4\, \text{mm}$. | 3 |
| 2005 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 35\, \text{in}$ and height $h = 54\, \text{in}$. | 3 |
| 2006 | Find the height $ h $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 4\, \text{mm}$. | 3 |
| 2007 | Find the area $ A $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 8\, \text{mm}$, diagonal $d = 13\, \text{mm}$ and angle $\alpha = 90^o$. | 3 |
| 2008 | Find the long base $ a $ of a trapezoid if long base $a = 100\, \text{ft}$, short base $b = 298.42\, \text{ft}$ and side $c = 447.42\, \text{ft}$. | 3 |
| 2009 | Find the long base $ a $ of a trapezoid if long base $a = 298.32\, \text{ft}$, short base $b = 100\, \text{ft}$ and side $c = 447.42\, \text{ft}$. | 3 |
| 2010 | Find the height $ h $ of a trapezoid if long base $a = 298.32\, \text{ft}$, short base $b = 100\, \text{ft}$ and side $c = 447.42\, \text{ft}$. | 3 |
| 2011 | Find the long base $ a $ of a trapezoid if long base $a = 47.5\, \text{in}$, side $c = 28.125\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 88^o$. | 3 |
| 2012 | Find the long base $ a $ of a trapezoid if long base $a = 1.5\, \text{mm}$, short base $b = 1\, \text{mm}$ and side $c = 8\, \text{mm}$. | 3 |
| 2013 | Find the area $ A $ of a trapezoid if short base $b = 38\, \text{mm}$, height $h = 17\, \text{mm}$ and angle $\alpha = 80^o$. | 3 |
| 2014 | Find the long base $ a $ of a trapezoid if short base $b = 38\, \text{mm}$, height $h = 17\, \text{mm}$, angle $\alpha = 80^o$ and angle $\beta = 10^o$. | 3 |
| 2015 | Find the height $ h $ of a trapezoid if long base $a = 44\, \text{mm}$, short base $b = 38\, \text{mm}$ and angle $\alpha = 80^o$. | 3 |
| 2016 | Find the height $ h $ of a trapezoid if long base $a = 44\, \text{mm}$, short base $b = 38\, \text{mm}$ and angle $\beta = 100^o$. | 3 |
| 2017 | Find the long base $ a $ of a trapezoid if long base $a = 640\, \text{mm}$, short base $b = 180\, \text{mm}$ and height $h = 500\, \text{mm}$. | 3 |
| 2018 | Find the angle $ \alpha $ of a trapezoid if long base $a = 58\, \text{in}$, short base $b = 32\, \text{in}$ and height $h = 22.5\, \text{in}$. | 3 |
| 2019 | Find the angle $ \beta $ of a trapezoid if long base $a = 3\, \text{m}$, short base $b = 1.2\, \text{m}$ and side $c = 2.6\, \text{m}$. | 3 |
| 2020 | Find the angle $ \alpha $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 14\, \text{in}$. | 3 |
| 2021 | Find the angle $ \beta $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 14\, \text{in}$. | 3 |
| 2022 | Find the long base $ a $ of a trapezoid if short base $b = 45\, \text{mm}$, height $h = 10\, \text{mm}$ and angle $\beta = 30^o$. | 3 |
| 2023 | Find the angle $ \alpha $ of a trapezoid if long base $a = 4\, \text{mm}$, short base $b = 1\, \text{mm}$ and height $h = 6\, \text{mm}$. | 3 |
| 2024 | Find the long base $ a $ of a trapezoid if long base $a = 105\, \text{in}$, short base $b = 16\, \text{in}$, height $h = 72\, \text{in}$, angle $\alpha = 58.28^o$ and angle $\beta = 121.72^o$. | 3 |
| 2025 | Find the angle $ \beta $ of a trapezoid if long base $a = 15\, \text{in}$, short base $b = 9.5\, \text{in}$ and side $c = 33.25\, \text{in}$. | 3 |
| 2026 | Find the long base $ a $ of a trapezoid if short base $b = 47.5\, \text{in}$, side $c = 36.25\, \text{in}$ and height $h = 31.25\, \text{in}$. | 3 |
| 2027 | Find the angle $ \beta $ of a trapezoid if short base $b = 47.5\, \text{in}$, side $c = 36.25\, \text{in}$ and height $h = 31.25\, \text{in}$. | 3 |
| 2028 | Find the short base $ b $ of a trapezoid if long base $a = 108.675\, \text{in}$, height $h = 5.5\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 3 |
| 2029 | Find the angle $ \alpha $ of a trapezoid if long base $a = 30.6\, \text{mm}$, short base $b = 29.6\, \text{mm}$ and height $h = 20.5\, \text{mm}$. | 3 |
| 2030 | Find the long base $ a $ of a trapezoid if long base $a = 2.25\, \text{ft}$ and short base $b = 2.6667\, \text{ft}$. | 3 |
| 2031 | Find the long base $ a $ of a trapezoid if short base $b = 16\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 3 |
| 2032 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 9\, \text{mm}$ and height $h = 12\, \text{mm}$. | 3 |
| 2033 | Find the perimeter $ P $ of a trapezoid if long base $a = 3.75\, \text{mm}$, short base $b = 6.25\, \text{mm}$ and height $h = 5\, \text{mm}$. | 3 |
| 2034 | Find the long base $ a $ of a trapezoid if short base $b = 42\, \text{mm}$, height $h = 30\, \text{mm}$ and angle $\alpha = 45^o$. | 3 |
| 2035 | Find the angle $ \beta $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 6\, \text{in}$ and side $c = 37\, \text{in}$. | 3 |
| 2036 | Find the long base $ a $ of a trapezoid if short base $b = 0.5\, \text{mm}$ and angle $\alpha = 35^o$. | 3 |
| 2037 | Find the short base $ b $ of a trapezoid if height $h = 25.5\, \text{in}$, angle $\alpha = 80.5^o$ and angle $\beta = 99.5^o$. | 3 |
| 2038 | Find the angle $ \beta $ of a trapezoid if long base $a = 32.75\, \text{in}$, short base $b = 16.25\, \text{in}$ and side $c = 17.75\, \text{in}$. | 3 |
| 2039 | Find the area $ A $ of a trapezoid if long base $a = 86\, \text{mm}$, short base $b = 86\, \text{mm}$ and height $h = 83\, \text{mm}$. | 3 |
| 2040 | Find the side $ c $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 40\, \text{in}$ and height $h = 10\, \text{in}$. | 3 |
| 2041 | Find the long base $ a $ of a trapezoid if long base $a = 120\, \text{in}$, side $c = 55\, \text{in}$ and height $h = 35\, \text{in}$. | 3 |
| 2042 | Find the area $ A $ of a trapezoid if long base $a = 52\, \text{ft}$, short base $b = 39\, \text{ft}$ and height $h = 72\, \text{ft}$. | 3 |
| 2043 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{mm}$ and side $c = 19\, \text{mm}$. | 3 |
| 2044 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{mm}$ and side $c = 15.2\, \text{mm}$. | 3 |
| 2045 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{mm}$, height $h = 3\, \text{mm}$ and angle $\alpha = 45^o$. | 3 |
| 2046 | Find the long base $ a $ of a trapezoid if height $h = 20\, \text{in}$, angle $\alpha = 85.5^o$ and angle $\beta = 94.5^o$. | 3 |
| 2047 | Find the long base $ a $ of a trapezoid if height $h = 20\, \text{in}$, median $m = 34\, \text{in}$, angle $\alpha = 85.5^o$ and angle $\beta = 94.5^o$. | 3 |
| 2048 | Find the long base $ a $ of a trapezoid if height $h = 20\, \text{mm}$, median $m = 34\, \text{mm}$ and angle $\alpha = 85.5^o$. | 3 |
| 2049 | Find the long base $ a $ of a trapezoid if long base $a = 209.55\, \text{mm}$, short base $b = 152.4\, \text{mm}$, side $c = 193.675\, \text{mm}$, height $h = 193.675\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 2050 | Find the perimeter $ P $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 2\, \text{mm}$. | 3 |
