Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 9001 | 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 |
| 9002 | 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 |
| 9003 | 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 |
| 9004 | 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 |
| 9005 | 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 |
| 9006 | 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 |
| 9007 | 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 |
| 9008 | 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 |
| 9009 | 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 |
| 9010 | 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 |
| 9011 | 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 |
| 9012 | 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 |
| 9013 | 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 |
| 9014 | 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 |
| 9015 | 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 |
| 9016 | 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 |
| 9017 | 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 |
| 9018 | Find the long base $ a $ of a trapezoid if side $c = 24\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 150^o$. | 1 |
| 9019 | 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 |
| 9020 | 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 |
| 9021 | Find the long base $ a $ of a trapezoid if short base $b = 43\, \text{mm}$ and height $h = 627\, \text{mm}$. | 1 |
| 9022 | Find the long base $ a $ of a trapezoid if side $c = 12\, \text{m}$ and height $h = 11.8\, \text{m}$. | 1 |
| 9023 | 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 |
| 9024 | 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 |
| 9025 | Find the short base $ b $ of a trapezoid if long base $a = 112.67\, \text{in}$ and height $h = 60\, \text{in}$. | 1 |
| 9026 | 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 |
| 9027 | 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 |
| 9028 | 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 |
| 9029 | 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 |
| 9030 | Find the area $ A $ of a trapezoid if short base $b = 12.5\, \text{m}$ and angle $\alpha = 71.5651^o$. | 1 |
| 9031 | 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 |
| 9032 | 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 |
| 9033 | 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 |
| 9034 | 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 |
| 9035 | 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 |
| 9036 | 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 |
| 9037 | 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 |
| 9038 | 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 |
| 9039 | 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 |
| 9040 | 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 |
| 9041 | 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 |
| 9042 | 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 |
| 9043 | 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 |
| 9044 | 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 |
| 9045 | 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 |
| 9046 | 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 |
| 9047 | 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 |
| 9048 | 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 |
| 9049 | 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 |
| 9050 | 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 |
