Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1901 | Find the long base $ a $ of a trapezoid if short base $b = 166.065\, \text{m}$, area $A = 4460.8438\, \text{m}^2$ and angle $\alpha = 90^o$. | 2 |
| 1902 | Find the long base $ a $ of a trapezoid if short base $b = 16.75\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 67.5^o$. | 2 |
| 1903 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 67.5^o$. | 2 |
| 1904 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, height $h = 5.5\, \text{in}$ and angle $\alpha = 67.5^o$. | 2 |
| 1905 | Find the long base $ a $ of a trapezoid if long base $a = 63.77\, \text{ft}$, short base $b = 116.4\, \text{ft}$ and side $c = 125\, \text{ft}$. | 2 |
| 1906 | Find the side $ c $ of a trapezoid if long base $a = 48\, \text{mm}$, short base $b = 24\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 1907 | Find the short base $ b $ of a trapezoid if long base $a = 55.6875\, \text{in}$, side $c = 25.5\, \text{mm}$, angle $\alpha = 80.5^o$ and angle $\beta = 99.5^o$. | 2 |
| 1908 | Find the long base $ a $ of a trapezoid if short base $b = 52.75\, \text{mm}$, side $c = 35.75\, \text{mm}$ and height $h = 18.75\, \text{mm}$. | 2 |
| 1909 | Find the long base $ a $ of a trapezoid if height $h = 110\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 2 |
| 1910 | Find the side $ c $ of a trapezoid if long base $a = 53\, \text{cm}$, short base $b = 16\, \text{cm}$ and height $h = 28\, \text{cm}$. | 2 |
| 1911 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 10.1\, \text{mm}$, side $c = 9\, \text{mm}$ and diagonal $d = 10.8\, \text{mm}$. | 2 |
| 1912 | Find the long base $ a $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 64\, \text{mm}$, height $h = 24\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 1913 | Find the long base $ a $ of a trapezoid if short base $b = 600\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 1914 | Find the side $ c $ of a trapezoid if long base $a = 3400\, \text{mm}$, short base $b = 600\, \text{mm}$ and height $h = 1400\, \text{mm}$. | 2 |
| 1915 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 50\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 1916 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 1917 | Find the long base $ a $ of a trapezoid if short base $b = 3.5\, \text{ft}$, height $h = 6.5\, \text{ft}$ and angle $\beta = 45^o$. | 2 |
| 1918 | Find the area $ A $ of a trapezoid if long base $a = 119\, \text{mm}$, short base $b = 19\, \text{mm}$, side $c = 81\, \text{mm}$ and height $h = 2200\, \text{mm}$. | 2 |
| 1919 | Find the area $ A $ of a trapezoid if long base $a = 7\, \text{mm}$, short base $b = 7\, \text{mm}$ and height $h = 3.1\, \text{mm}$. | 2 |
| 1920 | Find the area $ A $ of a trapezoid if long base $a = 74\, \text{mm}$, short base $b = 115\, \text{mm}$ and height $h = 48\, \text{mm}$. | 2 |
| 1921 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{cm}$, height $h = 60\, \text{mm}$ and angle $\beta = 98.117^o$. | 2 |
| 1922 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{cm}$, height $h = 90.5\, \text{mm}$ and angle $\beta = 98.117^o$. | 2 |
| 1923 | Find the side $ c $ of a trapezoid if long base $a = 126\, \text{in}$, short base $b = 96\, \text{in}$ and height $h = 78\, \text{in}$. | 2 |
| 1924 | Find the long base $ a $ of a trapezoid if long base $a = 45\, \text{in}$, short base $b = 36\, \text{in}$ and side $c = 60\, \text{in}$. | 2 |
| 1925 | Find the angle $ \alpha $ of a trapezoid if long base $a = 45\, \text{in}$, short base $b = 36\, \text{in}$ and side $c = 60\, \text{in}$. | 2 |
| 1926 | Find the angle $ \beta $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 16\, \text{in}$, side $c = 16\, \text{in}$ and diagonal $d = 16\, \text{mm}$. | 2 |
| 1927 | Find the diagonal $ d $ of a trapezoid if long base $a = 126\, \text{in}$, short base $b = 96\, \text{in}$ and side $c = 79.5\, \text{in}$. | 2 |
| 1928 | Find the long base $ a $ of a trapezoid if long base $a = 61.57\, \text{in}$, short base $b = 55.22\, \text{in}$, height $h = 5.5\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 1929 | Find the height $ h $ of a trapezoid if long base $a = 1550\, \text{mm}$, short base $b = 500\, \text{mm}$, median $m = 500\, \text{mm}$ and angle $\alpha = 49.4^o$. | 2 |
| 1930 | Find the short base $ b $ of a trapezoid if long base $a = 28\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 1931 | Find the long base $ a $ of a trapezoid if long base $a = 778\, \text{mm}$ and angle $\alpha = 22.5^o$. | 2 |
| 1932 | Find the short base $ b $ of a trapezoid if long base $a = 778\, \text{mm}$ and angle $\alpha = 22.5^o$. | 2 |
| 1933 | Find the short base $ b $ of a trapezoid if long base $a = 778\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 2 |
| 1934 | Find the long base $ a $ of a trapezoid if long base $a = 600\, \text{mm}$, short base $b = 100\, \text{mm}$ and side $c = 500\, \text{mm}$. | 2 |
| 1935 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 40\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 1936 | Find the long base $ a $ of a trapezoid if long base $a = 92\, \text{in}$, short base $b = 22\, \text{in}$, side $c = 12\, \text{ft}$, height $h = 12\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 1937 | Find the long base $ a $ of a trapezoid if short base $b = 102\, \text{in}$, side $c = 22\, \text{in}$ and height $h = 55\, \text{in}$. | 2 |
| 1938 | Find the long base $ a $ of a trapezoid if short base $b = 102\, \text{in}$, side $c = 22\, \text{in}$ and height $h = 20\, \text{in}$. | 2 |
| 1939 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{in}$, side $c = 24\, \text{in}$ and angle $\beta = 56.31^o$. | 2 |
| 1940 | Find the long base $ a $ of a trapezoid if long base $a = 52\, \text{mm}$, short base $b = 39\, \text{mm}$ and side $c = 72\, \text{mm}$. | 2 |
| 1941 | Find the area $ A $ of a trapezoid if long base $a = 52\, \text{ft}$, short base $b = 39\, \text{ft}$ and height $h = 72\, \text{mm}$. | 2 |
| 1942 | Find the area $ A $ of a trapezoid if long base $a = 52\, \text{ft}$, short base $b = 39\, \text{ft}$ and side $c = 72\, \text{ft}$. | 2 |
| 1943 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$ and side $c = 15.2\, \text{mm}$. | 2 |
| 1944 | Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{in}$, side $c = 1.4142\, \text{in}$ and height $h = 1\, \text{in}$. | 2 |
| 1945 | Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 1946 | Find the long base $ a $ of a trapezoid if long base $a = 93\, \text{in}$ and side $c = 276\, \text{mm}$. | 2 |
| 1947 | Find the long base $ a $ of a trapezoid if short base $b = 47.75\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 1948 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{in}$, height $h = 3\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 1949 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 5\, \text{in}$ and height $h = 18\, \text{in}$. | 2 |
| 1950 | Find the angle $ \alpha $ of a trapezoid if long base $a = 48\, \text{ft}$, short base $b = 24\, \text{ft}$ and height $h = 30\, \text{ft}$. | 2 |
