Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 7051 | Find the perimeter $ P $ of a trapezoid if long base $a = 63\, \text{mm}$, short base $b = 49\, \text{mm}$ and angle $\alpha = 72^o$. | 1 |
| 7052 | Find the side $ c $ of a trapezoid if short base $b = 6.3438\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 22.5^o$. | 1 |
| 7053 | Find the height $ h $ of a trapezoid if long base $a = 63\, \text{mm}$, short base $b = 49\, \text{mm}$ and angle $\alpha = 72^o$. | 1 |
| 7054 | Find the height $ h $ of a trapezoid if long base $a = 63\, \text{mm}$, short base $b = 49\, \text{mm}$ and area $A = 1204\, \text{mm}^2$. | 1 |
| 7055 | Find the area $ A $ of a trapezoid if long base $a = 63\, \text{m}$, short base $b = 49\, \text{m}$ and angle $\alpha = 72^o$. | 1 |
| 7056 | Find the long base $ a $ of a trapezoid if long base $a = 8.5\, \text{ft}$, short base $b = 6.25\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7057 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, side $c = 3\, \text{mm}$, diagonal $d = 7\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 7058 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, side $c = 3\, \text{mm}$ and diagonal $d = 7\, \text{mm}$. | 1 |
| 7059 | Find the angle $ \alpha $ of a trapezoid if long base $a = 86.8715\, \text{in}$, short base $b = 75.7979\, \text{in}$ and height $h = 60\, \text{in}$. | 1 |
| 7060 | Find the long base $ a $ of a trapezoid if short base $b = 11.5\, \text{in}$ and angle $\alpha = 30^o$. | 1 |
| 7061 | Find the short base $ b $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 11.5\, \text{in}$ and height $h = 11.25\, \text{in}$. | 1 |
| 7062 | Find the side $ c $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 11.5\, \text{in}$ and height $h = 11.25\, \text{in}$. | 1 |
| 7063 | Find the long base $ a $ of a trapezoid if short base $b = 11.5\, \text{in}$, height $h = 11.25\, \text{in}$ and angle $\beta = 120^o$. | 1 |
| 7064 | Find the long base $ a $ of a trapezoid if short base $b = 11.5\, \text{in}$, height $h = 11.25\, \text{in}$ and angle $\alpha = 75^o$. | 1 |
| 7065 | Find the angle $ \beta $ of a trapezoid if long base $a = 4\, \text{ft}$, short base $b = 2\, \text{ft}$ and side $c = 17\, \text{ft}$. | 1 |
| 7066 | Find the angle $ \beta $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 2\, \text{ft}$ and side $c = 30\, \text{ft}$. | 1 |
| 7067 | Find the angle $ \beta $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 2\, \text{ft}$ and side $c = 25\, \text{ft}$. | 1 |
| 7068 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 5\, \text{mm}$ and height $h = 5\, \text{mm}$. | 1 |
| 7069 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 5\, \text{mm}$ and height $h = 5\, \text{mm}$. | 1 |
| 7070 | Find the side $ c $ of a trapezoid if long base $a = 40\, \text{mm}$, short base $b = 38\, \text{mm}$ and side $c = 46\, \text{mm}$. | 1 |
| 7071 | Find the area $ A $ of a trapezoid if short base $b = 12.5\, \text{m}$, height $h = 6\, \text{m}$ and angle $\alpha = 71.5651^o$. | 1 |
| 7072 | Find the area $ A $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 8.4\, \text{m}$, height $h = 9.1\, \text{m}$ and angle $\alpha = 71.5651^o$. | 1 |
| 7073 | Find the area $ A $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 8.4\, \text{m}$ and height $h = 9.1\, \text{m}$. | 1 |
| 7074 | Find the area $ A $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 8.3\, \text{m}$ and height $h = 9.6\, \text{m}$. | 1 |
| 7075 | Find the angle $ \alpha $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 8.3\, \text{m}$ and height $h = 9.6\, \text{m}$. | 1 |
| 7076 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, area $A = 9.6\, \text{m}^2$ and angle $\alpha = 72.1039^o$. | 1 |
| 7077 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 1.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 1 |
| 7078 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 2.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 1 |
| 7079 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 5.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 1 |
| 7080 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 7.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 1 |
| 7081 | Find the area $ A $ of a trapezoid if short base $b = 3.9\, \text{m}$, height $h = 1.8\, \text{m}$ and angle $\alpha = 76.9137^o$. | 1 |
| 7082 | Find the area $ A $ of a trapezoid if short base $b = 3.9\, \text{m}$, height $h = 2.8\, \text{m}$ and angle $\alpha = 76.9137^o$. | 1 |
| 7083 | Find the area $ A $ of a trapezoid if short base $b = 3.9\, \text{m}$, height $h = 3.8\, \text{m}$ and angle $\alpha = 76.9137^o$. | 1 |
| 7084 | Find the area $ A $ of a trapezoid if short base $b = 3.9\, \text{m}$, height $h = 5.8\, \text{m}$ and angle $\alpha = 76.9137^o$. | 1 |
| 7085 | Find the area $ A $ of a trapezoid if short base $b = 3.9\, \text{m}$, height $h = 6.8\, \text{m}$ and angle $\alpha = 76.9137^o$. | 1 |
| 7086 | Find the area $ A $ of a trapezoid if short base $b = 3.9\, \text{m}$, height $h = 8.8\, \text{m}$ and angle $\alpha = 76.9137^o$. | 1 |
| 7087 | Find the area $ A $ of a trapezoid if short base $b = 3.9\, \text{m}$, height $h = 12.8\, \text{m}$ and angle $\alpha = 76.9137^o$. | 1 |
| 7088 | Find the area $ A $ of a trapezoid if short base $b = 3.9\, \text{m}$, height $h = 13.8\, \text{m}$ and angle $\alpha = 76.9137^o$. | 1 |
| 7089 | Find the area $ A $ of a trapezoid if short base $b = 3.9\, \text{m}$, height $h = 16.8\, \text{m}$ and angle $\alpha = 76.9137^o$. | 1 |
| 7090 | Find the area $ A $ of a trapezoid if short base $b = 3.9\, \text{m}$, height $h = 19.8\, \text{m}$ and angle $\alpha = 76.9137^o$. | 1 |
| 7091 | Find the area $ A $ of a trapezoid if short base $b = 3.9\, \text{m}$, height $h = 20.8\, \text{m}$ and angle $\alpha = 76.9137^o$. | 1 |
| 7092 | Find the angle $ \alpha $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 12.5\, \text{m}$ and height $h = 4\, \text{m}$. | 1 |
| 7093 | Find the angle $ \alpha $ of a trapezoid if long base $a = 14.5\, \text{m}$, height $h = 4\, \text{m}$ and angle $\alpha = 75.9638^o$. | 1 |
| 7094 | Find the long base $ a $ of a trapezoid if long base $a = 8.2\, \text{in}$, short base $b = 5.25\, \text{mm}$ and height $h = 5.5\, \text{in}$. | 1 |
| 7095 | Find the long base $ a $ of a trapezoid if short base $b = 5.25\, \text{in}$, height $h = 5.5\, \text{in}$ and angle $\beta = 105^o$. | 1 |
| 7096 | Find the height $ h $ of a trapezoid if long base $a = 72.5\, \text{in}$, short base $b = 48\, \text{in}$ and side $c = 48\, \text{in}$. | 1 |
| 7097 | Find the side $ c $ of a trapezoid if long base $a = 78.5\, \text{in}$, short base $b = 48\, \text{in}$ and height $h = 48\, \text{in}$. | 1 |
| 7098 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{mm}$, median $m = 15\, \text{mm}$ and angle $\beta = 69^o$. | 1 |
| 7099 | Find the angle $ \alpha $ of a trapezoid if long base $a = 18\, \text{in}$, short base $b = 15\, \text{in}$ and height $h = 5\, \text{in}$. | 1 |
| 7100 | Find the short base $ b $ of a trapezoid if long base $a = 15\, \text{in}$, height $h = 5\, \text{in}$ and angle $\alpha = 70^o$. | 1 |