Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 6951 | Find the angle $ \alpha $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 3.2\, \text{mm}$ and side $c = 8\, \text{mm}$. | 2 |
| 6952 | Find the side $ c $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 108\, \text{in}$. | 2 |
| 6953 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{mm}$, side $c = 21\, \text{mm}$ and height $h = 19\, \text{mm}$. | 2 |
| 6954 | Find the side $ c $ of a trapezoid if long base $a = 38\, \text{mm}$, short base $b = 20\, \text{mm}$ and height $h = 19\, \text{mm}$. | 2 |
| 6955 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 20\, \text{mm}$ and height $h = 17\, \text{mm}$. | 2 |
| 6956 | Find the short base $ b $ of a trapezoid if long base $a = 36\, \text{mm}$, side $c = 21\, \text{mm}$ and height $h = 17\, \text{mm}$. | 2 |
| 6957 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 5\, \text{mm}$ and angle $\alpha = 22.5^o$. | 2 |
| 6958 | Find the angle $ \beta $ of a trapezoid if height $h = 20\, \text{in}$, angle $\alpha = 22.5^o$ and angle $\beta = 157.5^o$. | 2 |
| 6959 | Find the perimeter $ P $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 16\, \text{mm}$. | 2 |
| 6960 | Find the perimeter $ P $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 8\, \text{ft}$ and height $h = 16\, \text{ft}$. | 2 |
| 6961 | Find the area $ A $ of a trapezoid if long base $a = 9\, \text{ft}$, short base $b = 3\, \text{ft}$, side $c = 5\, \text{ft}$ and height $h = 4\, \text{ft}$. | 2 |
| 6962 | Find the height $ h $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 3.5\, \text{in}$ and side $c = 8\, \text{in}$. | 2 |
| 6963 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{cm}$, diagonal $d = 1\, \text{cm}$ and height $h = 8\, \text{cm}$. | 2 |
| 6964 | Find the long base $ a $ of a trapezoid if short base $b = 17\, \text{in}$, side $c = 14\, \text{in}$ and diagonal $d = 14\, \text{in}$. | 2 |
| 6965 | Find the long base $ a $ of a trapezoid if short base $b = 0.25\, \text{in}$, height $h = 0.875\, \text{in}$ and angle $\beta = 135^o$. | 2 |
| 6966 | Find the long base $ a $ of a trapezoid if short base $b = 6.35\, \text{mm}$, height $h = 9\, \text{mm}$ and angle $\beta = 120^o$. | 2 |
| 6967 | Find the long base $ a $ of a trapezoid if short base $b = 6.35\, \text{mm}$, height $h = 12\, \text{mm}$ and angle $\beta = 135^o$. | 2 |
| 6968 | Find the long base $ a $ of a trapezoid if short base $b = 24.35\, \text{mm}$, height $h = 13.225\, \text{mm}$ and angle $\beta = 135^o$. | 2 |
| 6969 | Find the long base $ a $ of a trapezoid if long base $a = 106\, \text{in}$, side $c = 10\, \text{in}$ and diagonal $d = 12\, \text{in}$. | 2 |
| 6970 | Find the long base $ a $ of a trapezoid if long base $a = 1630\, \text{mm}$, short base $b = 1503\, \text{mm}$ and height $h = 725\, \text{mm}$. | 2 |
| 6971 | Find the long base $ a $ of a trapezoid if long base $a = 1630\, \text{mm}$, short base $b = 1503\, \text{mm}$ and diagonal $d = 1900\, \text{mm}$. | 2 |
| 6972 | Find the long base $ a $ of a trapezoid if long base $a = 2360\, \text{mm}$, short base $b = 1065\, \text{mm}$ and side $c = 910\, \text{mm}$. | 2 |
| 6973 | Find the long base $ a $ of a trapezoid if long base $a = 2360\, \text{mm}$, short base $b = 1065\, \text{mm}$, side $c = 910\, \text{mm}$ and height $h = 300\, \text{mm}$. | 2 |
| 6974 | Find the long base $ a $ of a trapezoid if short base $b = 38.5\, \text{in}$, side $c = 29\, \text{in}$ and diagonal $d = 49.5\, \text{in}$. | 2 |
| 6975 | Find the height $ h $ of a trapezoid if long base $a = 106\, \text{in}$, short base $b = 66\, \text{in}$ and side $c = 28\, \text{in}$. | 2 |
| 6976 | Find the short base $ b $ of a trapezoid if long base $a = 106\, \text{in}$, side $c = 28\, \text{in}$ and height $h = 20\, \text{in}$. | 2 |
| 6977 | Find the angle $ \alpha $ of a trapezoid if long base $a = 99.5\, \text{in}$, short base $b = 62\, \text{in}$ and side $c = 25\, \text{in}$. | 2 |
| 6978 | Find the area $ A $ of a trapezoid if long base $a = 2\, \text{ft}$ and short base $b = 5\, \text{ft}$. | 2 |
| 6979 | Find the area $ A $ of a trapezoid if long base $a = 2\, \text{ft}$, short base $b = 4\, \text{ft}$ and diagonal $d = 5\, \text{ft}$. | 2 |
| 6980 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8\, \text{ft}$ and short base $b = 4\, \text{ft}$. | 2 |
| 6981 | Find the angle $ \beta $ of a trapezoid if long base $a = 8\, \text{ft}$, short base $b = 4\, \text{ft}$ and angle $\alpha = 45^o$. | 2 |
| 6982 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{in}$ and short base $b = 4\, \text{in}$. | 2 |
| 6983 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 6984 | Find the height $ h $ of a trapezoid if long base $a = 1.8\, \text{m}$, short base $b = 0.45\, \text{m}$ and side $c = 1.35\, \text{m}$. | 2 |
| 6985 | Find the height $ h $ of a trapezoid if long base $a = 1.8\, \text{m}$, short base $b = 0.4\, \text{m}$ and side $c = 1.4\, \text{m}$. | 2 |
| 6986 | Find the angle $ \beta $ of a trapezoid if long base $a = 1.8\, \text{m}$, short base $b = 0.4\, \text{m}$ and side $c = 1.4\, \text{m}$. | 2 |
| 6987 | Find the long base $ a $ of a trapezoid if long base $a = 38\, \text{mm}$, short base $b = 25\, \text{mm}$ and height $h = 14\, \text{mm}$. | 2 |
| 6988 | Find the long base $ a $ of a trapezoid if short base $b = 55\, \text{mm}$, height $h = 5.25\, \text{mm}$ and angle $\beta = 120^o$. | 2 |
| 6989 | Find the long base $ a $ of a trapezoid if long base $a = 37.5\, \text{mm}$, short base $b = 30\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 6990 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{in}$, side $c = 16\, \text{in}$, height $h = 12\, \text{in}$ and angle $\alpha = 42^o$. | 2 |
| 6991 | Find the long base $ a $ of a trapezoid if short base $b = 14\, \text{in}$, side $c = 16\, \text{in}$ and height $h = 12\, \text{in}$. | 2 |
| 6992 | Find the long base $ a $ of a trapezoid if short base $b = 57\, \text{in}$, side $c = 16\, \text{in}$ and height $h = 12\, \text{in}$. | 2 |
| 6993 | Find the short base $ b $ of a trapezoid if long base $a = 42\, \text{mm}$ and height $h = 18\, \text{mm}$. | 2 |
| 6994 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$, angle $\alpha = 75^o$ and angle $\beta = 105^o$. | 2 |
| 6995 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$, diagonal $d = 10.1875\, \text{in}$, angle $\alpha = 75^o$ and angle $\beta = 105^o$. | 2 |
| 6996 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$, side $c = 9\, \text{in}$, diagonal $d = 10.1875\, \text{in}$ and angle $\beta = 105^o$. | 2 |
| 6997 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$, side $c = 9\, \text{in}$, diagonal $d = 10.1875\, \text{in}$, height $h = 8.6875\, \text{in}$, angle $\alpha = 75^o$ and angle $\beta = 105^o$. | 2 |
| 6998 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$, side $c = 9\, \text{in}$ and height $h = 8.6875\, \text{in}$. | 2 |
| 6999 | Find the long base $ a $ of a trapezoid if long base $a = 136\, \text{mm}$, short base $b = 60\, \text{mm}$ and side $c = 125\, \text{mm}$. | 2 |
| 7000 | Find the height $ h $ of a trapezoid if long base $a = 68.29\, \text{mm}$, short base $b = 30\, \text{mm}$ and side $c = 125\, \text{mm}$. | 2 |
