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 side $ c $ of a trapezoid if long base $a = 14\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 4\, \text{mm}$. | 2 |
| 1952 | Find the short base $ b $ of a trapezoid if long base $a = 1035\, \text{mm}$, short base $b = 60\, \text{mm}$ and side $c = 2360\, \text{mm}$. | 2 |
| 1953 | Find the long base $ a $ of a trapezoid if long base $a = 180\, \text{mm}$, short base $b = 110\, \text{mm}$ and side $c = 260\, \text{mm}$. | 2 |
| 1954 | Find the long base $ a $ of a trapezoid if long base $a = 34.75\, \text{in}$, height $h = 26.25\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 1955 | Find the short base $ b $ of a trapezoid if long base $a = 34.75\, \text{in}$, height $h = 26.25\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 1956 | Find the short base $ b $ of a trapezoid if long base $a = 34.75\, \text{in}$, height $h = 26.25\, \text{in}$ and angle $\alpha = 90^o$. | 2 |
| 1957 | Find the diagonal $ d $ of a trapezoid if long base $a = 1524\, \text{mm}$, short base $b = 1487.49\, \text{mm}$ and height $h = 466.73\, \text{mm}$. | 2 |
| 1958 | Find the diagonal $ d $ of a trapezoid if long base $a = 1524\, \text{mm}$, short base $b = 1487.49\, \text{mm}$ and side $c = 466.73\, \text{mm}$. | 2 |
| 1959 | Find the side $ c $ of a trapezoid if long base $a = 1524\, \text{mm}$, short base $b = 1487.49\, \text{mm}$ and height $h = 466.73\, \text{mm}$. | 2 |
| 1960 | Find the short base $ b $ of a trapezoid if long base $a = 18\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 81.254^o$. | 2 |
| 1961 | Find the long base $ a $ of a trapezoid if long base $a = 47.87\, \text{mm}$, height $h = 4.2\, \text{mm}$ and angle $\alpha = 30^o$. | 2 |
| 1962 | Find the long base $ a $ of a trapezoid if long base $a = 0.36\, \text{in}$, short base $b = 0.27\, \text{in}$ and height $h = 0.1\, \text{in}$. | 2 |
| 1963 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, height $h = 1\, \text{mm}$, angle $\alpha = 32^o$ and angle $\beta = 150^o$. | 2 |
| 1964 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, height $h = 1\, \text{mm}$, angle $\alpha = 31^o$ and angle $\beta = 150^o$. | 2 |
| 1965 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 2\, \text{mm}$. | 2 |
| 1966 | Find the perimeter $ P $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 3\, \text{mm}$ and height $h = 2\, \text{mm}$. | 2 |
| 1967 | Find the angle $ \alpha $ of a trapezoid if long base $a = 1600\, \text{mm}$, short base $b = 800\, \text{mm}$ and height $h = 750\, \text{mm}$. | 2 |
| 1968 | Find the angle $ \beta $ of a trapezoid if long base $a = 1600\, \text{mm}$, short base $b = 800\, \text{mm}$ and height $h = 750\, \text{mm}$. | 2 |
| 1969 | Find the long base $ a $ of a trapezoid if short base $b = 2\, \text{ft}$ and height $h = 5\, \text{ft}$. | 2 |
| 1970 | Find the long base $ a $ of a trapezoid if short base $b = 2\, \text{ft}$, side $c = 2.2361\, \text{ft}$ and height $h = 5\, \text{ft}$. | 2 |
| 1971 | Find the long base $ a $ of a trapezoid if long base $a = 420\, \text{in}$, short base $b = 240\, \text{mm}$, side $c = 292\, \text{mm}$ and height $h = 292\, \text{mm}$. | 2 |
| 1972 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 150^o$. | 2 |
| 1973 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 30^o$. | 2 |
| 1974 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\beta = 30^o$. | 2 |
| 1975 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\beta = 165^o$. | 2 |
| 1976 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\beta = 60^o$. | 2 |
| 1977 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 60^o$. | 2 |
| 1978 | Find the long base $ a $ of a trapezoid if short base $b = 1905\, \text{cm}$ and side $c = 1880\, \text{mm}$. | 2 |
| 1979 | Find the side $ c $ of a trapezoid if long base $a = 1350\, \text{mm}$, short base $b = 1200\, \text{mm}$ and height $h = 1079\, \text{mm}$. | 2 |
| 1980 | Find the long base $ a $ of a trapezoid if long base $a = 9.3\, \text{mm}$, short base $b = 6.8\, \text{mm}$ and perimeter $P = 40.1\, \text{mm}$. | 2 |
| 1981 | Find the side $ c $ of a trapezoid if long base $a = 150\, \text{in}$, short base $b = 78\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 1982 | Find the side $ c $ of a trapezoid if long base $a = 150\, \text{in}$, short base $b = 78\, \text{in}$ and height $h = 30\, \text{in}$. | 2 |
| 1983 | Find the long base $ a $ of a trapezoid if long base $a = 68.875\, \text{in}$, short base $b = 68.8125\, \text{in}$ and height $h = 18.5\, \text{in}$. | 2 |
| 1984 | Find the short base $ b $ of a trapezoid if long base $a = 69.125\, \text{in}$, height $h = 10.125\, \text{in}$ and angle $\alpha = 89.9032^o$. | 2 |
| 1985 | Find the short base $ b $ of a trapezoid if long base $a = 69.125\, \text{in}$, height $h = 18.5\, \text{in}$ and angle $\alpha = 89.8232^o$. | 2 |
| 1986 | Find the angle $ \alpha $ of a trapezoid if long base $a = 69.125\, \text{in}$, short base $b = 69.0938\, \text{in}$ and height $h = 10.125\, \text{in}$. | 2 |
| 1987 | Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 120^o$. | 2 |
| 1988 | Find the long base $ a $ of a trapezoid if short base $b = 58.39\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 120^o$. | 2 |
| 1989 | Find the angle $ \alpha $ of a trapezoid if long base $a = 69.1875\, \text{in}$, short base $b = 69.125\, \text{in}$ and height $h = 20.25\, \text{in}$. | 2 |
| 1990 | Find the short base $ b $ of a trapezoid if long base $a = 72\, \text{mm}$, height $h = 24\, \text{mm}$ and angle $\alpha = 67.5^o$. | 2 |
| 1991 | Find the side $ c $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 1.5\, \text{in}$. | 2 |
| 1992 | Find the angle $ \beta $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 1.5\, \text{in}$. | 2 |
| 1993 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{cm}$, height $h = 6\, \text{cm}$ and area $A = 24\, \text{cm}^2$. | 2 |
| 1994 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{mm}$ and height $h = 1.9\, \text{mm}$. | 2 |
| 1995 | Find the long base $ a $ of a trapezoid if long base $a = 1.3\, \text{mm}$, short base $b = 0.7\, \text{mm}$ and height $h = 1.3\, \text{mm}$. | 2 |
| 1996 | Find the long base $ a $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 24.4854\, \text{in}$ and height $h = 26.441\, \text{in}$. | 2 |
| 1997 | Find the angle $ \alpha $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 24.4854\, \text{in}$ and height $h = 26.441\, \text{in}$. | 2 |
| 1998 | Find the angle $ \alpha $ of a trapezoid if long base $a = 70\, \text{in}$, short base $b = 65.5863\, \text{in}$ and height $h = 26.441\, \text{in}$. | 2 |
| 1999 | Find the short base $ b $ of a trapezoid if long base $a = 28.5\, \text{in}$, side $c = 39\, \text{in}$ and height $h = 18.5\, \text{in}$. | 2 |
| 2000 | Find the long base $ a $ of a trapezoid if long base $a = 28.5\, \text{in}$, side $c = 39\, \text{in}$ and height $h = 18.5\, \text{in}$. | 2 |
