Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 9951 | Find the long base $ a $ of a trapezoid if long base $a = 20.6\, \text{ft}$, height $h = 1.5\, \text{ft}$ and angle $\alpha = 76^o$. | 1 |
| 9952 | Find the short base $ b $ of a trapezoid if long base $a = 55.75\, \text{in}$, height $h = 28\, \text{in}$ and angle $\alpha = 9.5^o$. | 1 |
| 9953 | Find the long base $ a $ of a trapezoid if long base $a = 80\, \text{ft}$, short base $b = 80\, \text{ft}$, side $c = 55\, \text{mm}$ and height $h = 50\, \text{mm}$. | 1 |
| 9954 | Find the long base $ a $ of a trapezoid if long base $a = 100\, \text{ft}$, short base $b = 100\, \text{ft}$, side $c = 55\, \text{ft}$ and height $h = 50\, \text{ft}$. | 1 |
| 9955 | Find the angle $ \beta $ of a trapezoid if long base $a = 127\, \text{in}$, short base $b = 84\, \text{in}$ and height $h = 21\, \text{in}$. | 1 |
| 9956 | Find the angle $ \alpha $ of a trapezoid if long base $a = 127\, \text{in}$, short base $b = 84\, \text{in}$ and height $h = 48\, \text{in}$. | 1 |
| 9957 | Find the long base $ a $ of a trapezoid if short base $b = 30\, \text{cm}$, side $c = 35\, \text{cm}$ and height $h = 33\, \text{cm}$. | 1 |
| 9958 | Find the area $ A $ of a trapezoid if long base $a = 16\, \text{m}$ and short base $b = 8\, \text{m}$. | 1 |
| 9959 | Find the long base $ a $ of a trapezoid if long base $a = 600\, \text{mm}$, height $h = 300\, \text{mm}$ and angle $\beta = 135^o$. | 1 |
| 9960 | Find the long base $ a $ of a trapezoid if long base $a = 600\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 9961 | Find the long base $ a $ of a trapezoid if long base $a = 5.42\, \text{mm}$. | 1 |
| 9962 | Find the height $ h $ of a trapezoid if long base $a = 22\, \text{mm}$, short base $b = 32\, \text{mm}$ and angle $\beta = 100^o$. | 1 |
| 9963 | Find the long base $ a $ of a trapezoid if height $h = 10\, \text{m}$ and area $A = 120\, \text{mm}^2$. | 1 |
| 9964 | Find the area $ A $ of a trapezoid if long base $a = 20\, \text{m}$, short base $b = 4\, \text{m}$ and height $h = 10\, \text{m}$. | 1 |
| 9965 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$, height $h = 9\, \text{in}$ and angle $\beta = 94^o$. | 1 |
| 9966 | Find the long base $ a $ of a trapezoid if short base $b = 37\, \text{in}$, side $c = 10\, \text{in}$, diagonal $d = 10\, \text{in}$ and angle $\beta = 164^o$. | 1 |
| 9967 | Find the angle $ \alpha $ of a trapezoid if long base $a = 47\, \text{mm}$, short base $b = 37\, \text{in}$ and height $h = 10\, \text{in}$. | 1 |
| 9968 | Find the long base $ a $ of a trapezoid if long base $a = 47\, \text{in}$, short base $b = 37\, \text{in}$ and height $h = 10\, \text{in}$. | 1 |
| 9969 | Find the angle $ \alpha $ of a trapezoid if long base $a = 54.5\, \text{in}$, short base $b = 52\, \text{in}$ and diagonal $d = 55\, \text{mm}$. | 1 |
| 9970 | Find the angle $ \alpha $ of a trapezoid if long base $a = 54.5\, \text{in}$, short base $b = 52\, \text{in}$ and diagonal $d = 55\, \text{in}$. | 1 |
| 9971 | Find the angle $ \beta $ of a trapezoid if long base $a = 54.5\, \text{in}$, short base $b = 52\, \text{in}$ and diagonal $d = 55\, \text{in}$. | 1 |
| 9972 | Find the side $ c $ of a trapezoid if long base $a = 54.5\, \text{in}$, short base $b = 52\, \text{in}$ and diagonal $d = 55\, \text{in}$. | 1 |
| 9973 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, side $c = 6\, \text{mm}$ and angle $\alpha = 50^o$. | 1 |
| 9974 | Find the long base $ a $ of a trapezoid if long base $a = 7.5981\, \text{ft}$, short base $b = 3\, \text{ft}$ and height $h = 4\, \text{ft}$. | 1 |
| 9975 | Find the height $ h $ of a trapezoid if long base $a = 7.2\, \text{mm}$, short base $b = 8.8\, \text{mm}$ and area $A = 24\, \text{mm}^2$. | 1 |
| 9976 | Find the angle $ \beta $ of a trapezoid if long base $a = 600\, \text{mm}$, short base $b = 400\, \text{mm}$ and height $h = 400\, \text{mm}$. | 1 |
| 9977 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 12\, \text{in}$ and angle $\alpha = 49^o$. | 1 |
| 9978 | Find the long base $ a $ of a trapezoid if side $c = 40\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 9979 | Find the side $ c $ of a trapezoid if long base $a = 58.5\, \text{in}$, short base $b = 53.25\, \text{in}$ and height $h = 16\, \text{in}$. | 1 |
| 9980 | Find the long base $ a $ of a trapezoid if long base $a = 96\, \text{in}$ and short base $b = 30\, \text{in}$. | 1 |
| 9981 | Find the long base $ a $ of a trapezoid if long base $a = 84\, \text{mm}$, short base $b = 47\, \text{mm}$, side $c = 36.875\, \text{mm}$ and diagonal $d = 36.875\, \text{mm}$. | 1 |
| 9982 | Find the long base $ a $ of a trapezoid if long base $a = 84\, \text{mm}$, short base $b = 47\, \text{mm}$, side $c = 36.875\, \text{mm}$, diagonal $d = 36.875\, \text{mm}$ and height $h = 31.75\, \text{mm}$. | 1 |
| 9983 | Find the angle $ \beta $ of a trapezoid if long base $a = 84\, \text{mm}$, short base $b = 47\, \text{mm}$, side $c = 36.875\, \text{mm}$, diagonal $d = 36.875\, \text{mm}$ and height $h = 31.75\, \text{mm}$. | 1 |
| 9984 | Find the angle $ \beta $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 47\, \text{in}$, side $c = 36.875\, \text{in}$, diagonal $d = 36.875\, \text{in}$ and height $h = 31.75\, \text{in}$. | 1 |
| 9985 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 9986 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{in}$, height $h = 1.5\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 9987 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{in}$, height $h = 1.5\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 9988 | Find the area $ A $ of a trapezoid if long base $a = 3.5\, \text{m}$, short base $b = 1\, \text{m}$ and height $h = 0.5581\, \text{m}$. | 1 |
| 9989 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
| 9990 | Find the side $ c $ of a trapezoid if long base $a = 3.5\, \text{m}$, short base $b = 1\, \text{m}$ and height $h = 0.78\, \text{m}$. | 1 |
| 9991 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, height $h = 2\, \text{in}$ and angle $\alpha = 5^o$. | 1 |
| 9992 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, height $h = 2\, \text{in}$, angle $\alpha = 5^o$ and angle $\beta = 175^o$. | 1 |
| 9993 | Find the short base $ b $ of a trapezoid if long base $a = 192\, \text{in}$, height $h = 811.4564\, \text{in}$ and angle $\alpha = 86.5^o$. | 1 |
| 9994 | Find the long base $ a $ of a trapezoid if long base $a = 96\, \text{mm}$, short base $b = 84\, \text{mm}$ and side $c = 28\, \text{mm}$. | 1 |
| 9995 | Find the angle $ \beta $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 4\, \text{ft}$ and side $c = 6\, \text{mm}$. | 1 |
| 9996 | Find the angle $ \beta $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 4\, \text{ft}$ and side $c = 6\, \text{ft}$. | 1 |
| 9997 | Find the short base $ b $ of a trapezoid if long base $a = 106.5\, \text{in}$, side $c = 10\, \text{in}$ and angle $\beta = 45^o$. | 1 |
| 9998 | Find the long base $ a $ of a trapezoid if short base $b = 106.5\, \text{in}$, side $c = 10\, \text{in}$ and angle $\beta = 45^o$. | 1 |
| 9999 | Find the long base $ a $ of a trapezoid if short base $b = 106.5\, \text{in}$, side $c = 10\, \text{in}$, angle $\alpha = 135^o$ and angle $\beta = 45^o$. | 1 |
| 10000 | Find the short base $ b $ of a trapezoid if long base $a = 105\, \text{in}$, diagonal $d = 94.04\, \text{in}$, height $h = 72\, \text{in}$, area $A = 4356\, \text{in}^2$ and perimeter $P = 290.3\, \text{in}$. | 1 |