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 angle $ \beta $ of a trapezoid if long base $a = 1600\, \text{mm}$, short base $b = 1200\, \text{mm}$ and height $h = 740\, \text{mm}$. | 3 |
| 1902 | Find the long base $ a $ of a trapezoid if long base $a = 72\, \text{in}$, height $h = 24\, \text{in}$ and angle $\alpha = 22.5^o$. | 3 |
| 1903 | Find the long base $ a $ of a trapezoid if long base $a = 72\, \text{in}$, height $h = 24\, \text{in}$ and angle $\beta = 22.5^o$. | 3 |
| 1904 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{ft}$, short base $b = 5\, \text{ft}$ and side $c = 3\, \text{ft}$. | 3 |
| 1905 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 6\, \text{cm}$ and side $c = 4\, \text{cm}$. | 3 |
| 1906 | Find the side $ c $ of a trapezoid if long base $a = 33\, \text{mm}$, short base $b = 18\, \text{mm}$ and side $c = 38.28\, \text{mm}$. | 3 |
| 1907 | Find the long base $ a $ of a trapezoid if long base $a = 31\, \text{cm}$, side $c = 8\, \text{cm}$ and angle $\alpha = 45^o$. | 3 |
| 1908 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{ft}$, short base $b = 2\, \text{ft}$, side $c = 4\, \text{mm}$, diagonal $d = 4.4\, \text{ft}$, height $h = 3.11\, \text{ft}$ and median $m = 1.9\, \text{ft}$. | 3 |
| 1909 | Find the area $ A $ of a trapezoid if long base $a = 40\, \text{cm}$, short base $b = 20\, \text{cm}$ and height $h = 16\, \text{cm}$. | 3 |
| 1910 | Find the diagonal $ d $ of a trapezoid if long base $a = 40\, \text{cm}$, short base $b = 20\, \text{cm}$ and height $h = 16\, \text{cm}$. | 3 |
| 1911 | Find the long base $ a $ of a trapezoid if short base $b = 2.5\, \text{ft}$, height $h = 3.5\, \text{ft}$ and angle $\beta = 45^o$. | 3 |
| 1912 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{cm}$, side $c = 7\, \text{cm}$ and angle $\alpha = 70^o$. | 3 |
| 1913 | Find the side $ c $ of a trapezoid if short base $b = 62\, \text{in}$ and height $h = 22.5\, \text{in}$. | 3 |
| 1914 | Find the long base $ a $ of a trapezoid if short base $b = 2.5\, \text{m}$, side $c = 2.5\, \text{m}$ and area $A = 8.35\, \text{m}^2$. | 3 |
| 1915 | Find the angle $ \beta $ of a trapezoid if long base $a = 11.5\, \text{in}$, short base $b = 9.2\, \text{in}$ and side $c = 7.5\, \text{in}$. | 3 |
| 1916 | Find the long base $ a $ of a trapezoid if long base $a = 1.3\, \text{m}$, height $h = 10\, \text{cm}$ and angle $\alpha = 45^o$. | 3 |
| 1917 | Find the long base $ a $ of a trapezoid if angle $\alpha = 60^o$ and angle $\beta = 90^o$. | 3 |
| 1918 | Find the long base $ a $ of a trapezoid if long base $a = 2464.6\, \text{mm}$, short base $b = 1275.3\, \text{mm}$ and side $c = 1030\, \text{mm}$. | 3 |
| 1919 | Find the angle $ \alpha $ of a trapezoid if long base $a = 2464.6\, \text{mm}$, short base $b = 1275.3\, \text{mm}$ and side $c = 1030\, \text{mm}$. | 3 |
| 1920 | Find the long base $ a $ of a trapezoid if long base $a = 2400\, \text{mm}$, short base $b = 2100\, \text{mm}$ and height $h = 900\, \text{mm}$. | 3 |
| 1921 | Find the angle $ \alpha $ of a trapezoid if long base $a = 2400\, \text{mm}$, short base $b = 2100\, \text{mm}$ and height $h = 900\, \text{mm}$. | 3 |
| 1922 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\beta = 157.5^o$. | 3 |
| 1923 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 20\, \text{in}$. | 3 |
| 1924 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{ft}$, short base $b = 20\, \text{ft}$ and height $h = 22.5\, \text{ft}$. | 3 |
| 1925 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{mm}$, height $h = 11\, \text{mm}$ and area $A = 165\, \text{mm}^2$. | 3 |
| 1926 | Find the area $ A $ of a trapezoid if long base $a = 12\, \text{cm}$, short base $b = 10\, \text{cm}$, side $c = 9\, \text{cm}$ and height $h = 8\, \text{cm}$. | 3 |
| 1927 | Find the angle $ \alpha $ of a trapezoid if long base $a = 4.75\, \text{in}$, short base $b = 16.25\, \text{mm}$, side $c = 23.75\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1928 | Find the height $ h $ of a trapezoid if long base $a = 32\, \text{in}$, short base $b = 28.579\, \text{in}$ and side $c = 7.125\, \text{in}$. | 3 |
| 1929 | Find the area $ A $ of a trapezoid if long base $a = 18.03\, \text{mm}$, short base $b = 11.18\, \text{mm}$ and side $c = 5\, \text{mm}$. | 3 |
| 1930 | Find the side $ c $ of a trapezoid if long base $a = 268\, \text{cm}$, short base $b = 155\, \text{cm}$ and height $h = 263\, \text{cm}$. | 3 |
| 1931 | Find the perimeter $ P $ of a trapezoid if long base $a = 6\, \text{in}$, short base $b = 3\, \text{in}$ and height $h = 3.75\, \text{in}$. | 3 |
| 1932 | Find the height $ h $ of a trapezoid if long base $a = 13\, \text{ft}$, short base $b = 6\, \text{ft}$ and area $A = 180.5\, \text{ft}^2$. | 3 |
| 1933 | Find the height $ h $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 3\, \text{mm}$ and side $c = 5\, \text{mm}$. | 3 |
| 1934 | Find the height $ h $ of a trapezoid if ???. | 3 |
| 1935 | Find the long base $ a $ of a trapezoid if height $h = 0.25\, \text{in}$, median $m = 1\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 111.5^o$. | 3 |
| 1936 | Find the long base $ a $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 12.5\, \text{m}$ and height $h = 3\, \text{m}$. | 3 |
| 1937 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$, side $c = 3\, \text{mm}$ and diagonal $d = 7\, \text{mm}$. | 3 |
| 1938 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 9.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 3 |
| 1939 | Find the area $ A $ of a trapezoid if short base $b = 3.9\, \text{m}$, height $h = 22.8\, \text{m}$ and angle $\alpha = 76.9137^o$. | 3 |
| 1940 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 10\, \text{in}$. | 3 |
| 1941 | Find the area $ A $ of a trapezoid if long base $a = 44\, \text{ft}$, short base $b = 16\, \text{ft}$ and side $c = 22\, \text{ft}$. | 3 |
| 1942 | Find the height $ h $ of a trapezoid if long base $a = 24\, \text{ft}$, short base $b = 22\, \text{ft}$ and side $c = 20\, \text{ft}$. | 3 |
| 1943 | Find the side $ c $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 35\, \text{mm}$ and height $h = 50\, \text{mm}$. | 3 |
| 1944 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 78.75^o$. | 3 |
| 1945 | Find the short base $ b $ of a trapezoid if long base $a = 2\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 78.75^o$. | 3 |
| 1946 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$ and side $c = 16\, \text{in}$. | 3 |
| 1947 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{ft}$, height $h = 5\, \text{ft}$ and area $A = 45\, \text{ft}^2$. | 3 |
| 1948 | Find the long base $ a $ of a trapezoid if short base $b = 642\, \text{mm}$. | 3 |
| 1949 | Find the long base $ a $ of a trapezoid if short base $b = 40\, \text{mm}$, side $c = 20\, \text{mm}$ and angle $\beta = 45^o$. | 3 |
| 1950 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 27.9^o$. | 3 |
