Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1951 | Find the long base $ a $ of a trapezoid if short base $b = 40\, \text{ft}$, side $c = 20\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 1952 | Find the angle $ \alpha $ of a trapezoid if angle $\beta = 105^o$. | 3 |
| 1953 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{in}$, height $h = 10\, \text{in}$ and angle $\alpha = 45^o$. | 3 |
| 1954 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{m}$, height $h = 2.5\, \text{m}$ and area $A = 3\, \text{m}^2$. | 3 |
| 1955 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{mm}$ and height $h = 5\, \text{mm}$. | 3 |
| 1956 | Find the long base $ a $ of a trapezoid if short base $b = 9\, \text{ft}$, angle $\alpha = 146^o$ and angle $\beta = 34^o$. | 3 |
| 1957 | Find the long base $ a $ of a trapezoid if long base $a = 11.4\, \text{cm}$, short base $b = 6.4\, \text{cm}$, diagonal $d = 10.9\, \text{mm}$ and angle $\alpha = 45^o$. | 3 |
| 1958 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 10\, \text{in}$ and side $c = 6\, \text{in}$. | 3 |
| 1959 | Find the side $ c $ of a trapezoid if long base $a = 1100\, \text{mm}$, short base $b = 290\, \text{mm}$ and height $h = 450\, \text{mm}$. | 3 |
| 1960 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{cm}$, side $c = 7\, \text{cm}$ and diagonal $d = 21\, \text{cm}$. | 3 |
| 1961 | Find the long base $ a $ of a trapezoid if long base $a = 961\, \text{ft}$, short base $b = 483\, \text{cm}$ and side $c = 420\, \text{cm}$. | 3 |
| 1962 | Find the side $ c $ of a trapezoid if long base $a = 8.5\, \text{mm}$ and short base $b = 6.5\, \text{mm}$. | 3 |
| 1963 | Find the side $ c $ of a trapezoid if long base $a = 8.5\, \text{mm}$, short base $b = 6.5\, \text{mm}$ and height $h = 350\, \text{mm}$. | 3 |
| 1964 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8.28\, \text{mm}$, short base $b = 6.28\, \text{mm}$ and height $h = 35\, \text{mm}$. | 3 |
| 1965 | Find the angle $ \beta $ of a trapezoid if long base $a = 8.28\, \text{mm}$, short base $b = 6.28\, \text{mm}$ and height $h = 35\, \text{mm}$. | 3 |
| 1966 | Find the long base $ a $ of a trapezoid if long base $a = 16.25\, \text{mm}$, short base $b = 19\, \text{cm}$ and height $h = 17.5\, \text{cm}$. | 3 |
| 1967 | Find the height $ h $ of a trapezoid if long base $a = 11.2\, \text{in}$, short base $b = 8\, \text{in}$ and side $c = 6\, \text{in}$. | 2 |
| 1968 | Find the height $ h $ of a trapezoid if long base $a = 44\, \text{ft}$, short base $b = 16\, \text{ft}$ and side $c = 22\, \text{ft}$. | 2 |
| 1969 | Find the long base $ a $ of a trapezoid if long base $a = 25\, \text{cm}$, short base $b = 16\, \text{cm}$ and side $c = 10\, \text{cm}$. | 2 |
| 1970 | Find the long base $ a $ of a trapezoid if side $c = 5.6569\, \text{mm}$. | 2 |
| 1971 | Find the short base $ b $ of a trapezoid if long base $a = 8.5\, \text{in}$, height $h = 1.5\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 1972 | Find the long base $ a $ of a trapezoid if long base $a = 7.5\, \text{in}$, height $h = 1.5\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 1973 | Find the short base $ b $ of a trapezoid if long base $a = 8.5\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 1974 | Find the long base $ a $ of a trapezoid if long base $a = 16.5\, \text{in}$, short base $b = 8.5\, \text{in}$ and height $h = 5.75\, \text{in}$. | 2 |
| 1975 | Find the angle $ \alpha $ of a trapezoid if long base $a = 16.5\, \text{in}$, short base $b = 8.5\, \text{in}$ and height $h = 5.75\, \text{in}$. | 2 |
| 1976 | Find the long base $ a $ of a trapezoid if long base $a = 110\, \text{mm}$, short base $b = 30\, \text{mm}$ and side $c = 65\, \text{mm}$. | 2 |
| 1977 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{ft}$, short base $b = 4\, \text{ft}$ and height $h = 3\, \text{ft}$. | 2 |
| 1978 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{ft}$, side $c = 10\, \text{ft}$ and height $h = 180\, \text{in}$. | 2 |
| 1979 | Find the angle $ \beta $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 118\, \text{in}$. | 2 |
| 1980 | Find the angle $ \alpha $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 118\, \text{in}$. | 2 |
| 1981 | Find the perimeter $ P $ of a trapezoid if long base $a = 4.7\, \text{mm}$, short base $b = 6.4\, \text{mm}$ and height $h = 4.2\, \text{mm}$. | 2 |
| 1982 | Find the long base $ a $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 35\, \text{mm}$ and height $h = 50\, \text{mm}$. | 2 |
| 1983 | Find the angle $ \alpha $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 35\, \text{mm}$ and height $h = 50\, \text{mm}$. | 2 |
| 1984 | Find the angle $ \beta $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 35\, \text{mm}$ and height $h = 50\, \text{mm}$. | 2 |
| 1985 | Find the long base $ a $ of a trapezoid if height $h = 55\, \text{mm}$, angle $\alpha = 61.1892^o$ and angle $\beta = 1188105^o$. | 2 |
| 1986 | Find the short base $ b $ of a trapezoid if height $h = 55\, \text{mm}$, angle $\alpha = 61.1892^o$ and angle $\beta = 1188105^o$. | 2 |
| 1987 | Find the short base $ b $ of a trapezoid if height $h = 55\, \text{mm}$, angle $\alpha = 61.1892^o$ and angle $\beta = 118.8105^o$. | 2 |
| 1988 | Find the short base $ b $ of a trapezoid if height $h = 55\, \text{mm}$, angle $\alpha = 61.2^o$ and angle $\beta = 118.8105^o$. | 2 |
| 1989 | Find the short base $ b $ of a trapezoid if height $h = 55\, \text{mm}$, angle $\alpha = 61.2^o$ and angle $\beta = 118.8^o$. | 2 |
| 1990 | Find the long base $ a $ of a trapezoid if long base $a = 95\, \text{mm}$, short base $b = 40\, \text{mm}$ and height $h = 55\, \text{mm}$. | 2 |
| 1991 | Find the side $ c $ of a trapezoid if long base $a = 95\, \text{mm}$, short base $b = 40\, \text{mm}$ and height $h = 55\, \text{mm}$. | 2 |
| 1992 | Find the angle $ \alpha $ of a trapezoid if long base $a = 95\, \text{mm}$, short base $b = 40\, \text{mm}$ and height $h = 55\, \text{mm}$. | 2 |
| 1993 | Find the angle $ \beta $ of a trapezoid if long base $a = 95\, \text{mm}$, short base $b = 40\, \text{mm}$ and height $h = 55\, \text{mm}$. | 2 |
| 1994 | Find the long base $ a $ of a trapezoid if side $c = 39\, \text{mm}$, diagonal $d = 54\, \text{mm}$ and height $h = 20\, \text{mm}$. | 2 |
| 1995 | Find the area $ A $ of a trapezoid if short base $b = 18\, \text{cm}$, height $h = 9\, \text{cm}$ and angle $\alpha = 45^o$. | 2 |
| 1996 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 61 }{ 2 }\, \text{mm}$, short base $b = \frac{ 31 }{ 2 }\, \text{mm}$ and area $A = \frac{ 221 }{ 2 }\, \text{mm}^2$. | 2 |
| 1997 | Find the perimeter $ P $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 30\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 1998 | Find the perimeter $ P $ of a trapezoid if long base $a = 30\, \text{mm}$, short base $b = 36\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 1999 | Find the side $ c $ of a trapezoid if long base $a = 13\, \text{mm}$ and short base $b = 4\, \text{mm}$. | 2 |
| 2000 | Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 8\, \text{mm}$. | 2 |
