Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 7001 | Find the perimeter $ P $ of a trapezoid if long base $a = 6\, \text{ft}$, short base $b = 3\, \text{in}$ and height $h = 3.5\, \text{in}$. | 1 |
| 7002 | Find the perimeter $ P $ of a trapezoid if long base $a = 6\, \text{in}$, short base $b = 3\, \text{in}$ and height $h = 3.5\, \text{in}$. | 1 |
| 7003 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 25 }{ 6 }\, \text{ft}$, height $h = \frac{ 12 }{ 7 }\, \text{ft}$ and area $A = 6\, \text{ft}^2$. | 1 |
| 7004 | Find the height $ h $ of a trapezoid if long base $a = 9\, \text{ft}$, short base $b = 7\, \text{ft}$ and area $A = 72\, \text{ft}^2$. | 1 |
| 7005 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{ft}$, height $h = 2\, \text{ft}$ and area $A = 8\, \text{ft}^2$. | 1 |
| 7006 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 25 }{ 6 }\, \text{ft}$, height $h = \frac{ 12 }{ 7 }\, \text{ft}$ and area $A = 6\, \text{ft}^2$. | 1 |
| 7007 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 3\, \text{mm}$ and side $c = 5\, \text{mm}$. | 1 |
| 7008 | Find the area $ A $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 3\, \text{mm}$, side $c = 5\, \text{mm}$ and height $h = 3\, \text{mm}$. | 1 |
| 7009 | Find the area $ A $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 3\, \text{mm}$ and side $c = 5\, \text{mm}$. | 1 |
| 7010 | Find the area $ A $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 2\, \text{mm}$ and side $c = 5\, \text{mm}$. | 1 |
| 7011 | Find the short base $ b $ of a trapezoid if long base $a = 15\, \text{ft}$, side $c = 6\, \text{ft}$ and height $h = 4\, \text{ft}$. | 1 |
| 7012 | Find the long base $ a $ of a trapezoid if short base $b = 150\, \text{mm}$, height $h = 220\, \text{mm}$ and angle $\beta = 91^o$. | 1 |
| 7013 | Find the long base $ a $ of a trapezoid if long base $a = 7\, \text{ft}$, short base $b = 8\, \text{ft}$, side $c = 3.5\, \text{ft}$, diagonal $d = 4\, \text{ft}$ and perimeter $P = 22.5\, \text{ft}$. | 1 |
| 7014 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 16.5\, \text{in}$. | 1 |
| 7015 | Find the long base $ a $ of a trapezoid if short base $b = 6.351\, \text{in}$, height $h = 1\, \text{in}$ and angle $\beta = 150^o$. | 1 |
| 7016 | Find the angle $ \beta $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 16.5\, \text{in}$. | 1 |
| 7017 | Find the long base $ a $ of a trapezoid if short base $b = 6.351\, \text{in}$, height $h = 1\, \text{in}$ and angle $\beta = 120^o$. | 1 |
| 7018 | Find the short base $ b $ of a trapezoid if long base $a = 6.75\, \text{in}$, height $h = 9.75\, \text{in}$ and angle $\alpha = 83^o$. | 1 |
| 7019 | Find the short base $ b $ of a trapezoid if long base $a = 6.75\, \text{in}$, height $h = 5.875\, \text{in}$ and angle $\alpha = 83^o$. | 1 |
| 7020 | Find the height $ h $ of a trapezoid if long base $a = 13.2\, \text{mm}$, short base $b = 12\, \text{mm}$ and side $c = 13.4\, \text{mm}$. | 1 |
| 7021 | Find the angle $ \alpha $ of a trapezoid if long base $a = 13.2\, \text{mm}$, short base $b = 12\, \text{mm}$ and side $c = 13.4\, \text{mm}$. | 1 |
| 7022 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 8\, \text{cm}$ and side $c = 4 \sqrt{ 3 }\, \text{cm}$. | 1 |
| 7023 | Find the area $ A $ of a trapezoid if short base $b = 29\, \text{in}$, height $h = 60\, \text{in}$ and angle $\beta = 135^o$. | 1 |
| 7024 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{mm}$, side $c = 4\, \text{mm}$ and diagonal $d = 5\, \text{mm}$. | 1 |
| 7025 | Find the long base $ a $ of a trapezoid if side $c = 24\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 150^o$. | 1 |
| 7026 | Find the short base $ b $ of a trapezoid if long base $a = 36\, \text{in}$, side $c = 32\, \text{in}$ and diagonal $d = 32\, \text{in}$. | 1 |
| 7027 | Find the long base $ a $ of a trapezoid if side $c = 5\, \text{in}$, height $h = 4\, \text{in}$ and area $A = 77\, \text{in}^2$. | 1 |
| 7028 | Find the long base $ a $ of a trapezoid if short base $b = 43\, \text{mm}$ and height $h = 627\, \text{mm}$. | 1 |
| 7029 | Find the long base $ a $ of a trapezoid if side $c = 12\, \text{m}$ and height $h = 11.8\, \text{m}$. | 1 |
| 7030 | Find the angle $ \beta $ of a trapezoid if short base $b = 1\, \text{m}$, side $c = 12.5\, \text{m}$ and height $h = 11\, \text{m}$. | 1 |
| 7031 | Find the height $ h $ of a trapezoid if long base $a = 207.6\, \text{cm}$, short base $b = 100\, \text{cm}$ and side $c = 188\, \text{cm}$. | 1 |
| 7032 | Find the short base $ b $ of a trapezoid if long base $a = 112.67\, \text{in}$ and height $h = 60\, \text{in}$. | 1 |
| 7033 | Find the short base $ b $ of a trapezoid if long base $a = 112.67\, \text{in}$, height $h = 60\, \text{in}$ and angle $\alpha = 62^o$. | 1 |
| 7034 | Find the perimeter $ P $ of a trapezoid if long base $a = 28\, \text{mm}$, short base $b = 12\, \text{mm}$ and area $A = 300\, \text{mm}^2$. | 1 |
| 7035 | Find the area $ A $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 12.5\, \text{m}$ and height $h = 3\, \text{m}$. | 1 |
| 7036 | Find the angle $ \alpha $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 12.5\, \text{m}$ and height $h = 3\, \text{m}$. | 1 |
| 7037 | Find the area $ A $ of a trapezoid if short base $b = 12.5\, \text{m}$ and angle $\alpha = 71.5651^o$. | 1 |
| 7038 | Find the area $ A $ of a trapezoid if short base $b = 12.5\, \text{m}$, height $h = 2\, \text{m}$ and angle $\alpha = 71.5651^o$. | 1 |
| 7039 | Find the long base $ a $ of a trapezoid if long base $a = 72\, \text{in}$, side $c = 72\, \text{in}$ and angle $\alpha = 71.5^o$. | 1 |
| 7040 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 5\, \text{mm}$. | 1 |
| 7041 | Find the long base $ a $ of a trapezoid if long base $a = 550\, \text{mm}$, height $h = 200\, \text{mm}$ and angle $\beta = 91.6181^o$. | 1 |
| 7042 | Find the long base $ a $ of a trapezoid if long base $a = 55\, \text{mm}$, height $h = 200\, \text{mm}$ and angle $\beta = 91.6181^o$. | 1 |
| 7043 | Find the short base $ b $ of a trapezoid if long base $a = 55\, \text{mm}$, height $h = 200\, \text{mm}$ and angle $\beta = 91.6181^o$. | 1 |
| 7044 | Find the short base $ b $ of a trapezoid if long base $a = 48\, \text{mm}$, height $h = 200\, \text{mm}$ and angle $\beta = 91.6181^o$. | 1 |
| 7045 | Find the short base $ b $ of a trapezoid if long base $a = 51\, \text{mm}$, height $h = 200\, \text{mm}$ and angle $\beta = 91.6181^o$. | 1 |
| 7046 | Find the area $ A $ of a trapezoid if long base $a = 220\, \text{mm}$, short base $b = 100\, \text{mm}$ and height $h = 110\, \text{mm}$. | 1 |
| 7047 | Find the long base $ a $ of a trapezoid if long base $a = 70\, \text{in}$, short base $b = 55\, \text{in}$ and height $h = 20\, \text{in}$. | 1 |
| 7048 | Find the perimeter $ P $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 3\, \text{mm}$, height $h = 4\, \text{mm}$ and area $A = 26\, \text{mm}^2$. | 1 |
| 7049 | Find the perimeter $ P $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 3\, \text{mm}$ and height $h = 4\, \text{mm}$. | 1 |
| 7050 | Find the long base $ a $ of a trapezoid if short base $b = 6.3438\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 22.5^o$. | 1 |