Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1001 | Find the long base $ a $ of a trapezoid if long base $a = 150\, \text{in}$, height $h = 63\, \text{in}$, angle $\alpha = 25^o$ and angle $\beta = 25^o$. | 4 |
| 1002 | Find the long base $ a $ of a trapezoid if long base $a = 150\, \text{in}$, height $h = 63\, \text{in}$ and angle $\alpha = 25^o$. | 4 |
| 1003 | Find the long base $ a $ of a trapezoid if long base $a = 150\, \text{mm}$, height $h = 63\, \text{mm}$ and angle $\alpha = 65^o$. | 4 |
| 1004 | Find the long base $ a $ of a trapezoid if long base $a = 2.625\, \text{in}$ and height $h = 0.75\, \text{mm}$. | 4 |
| 1005 | Find the long base $ a $ of a trapezoid if side $c = 5.1\, \text{mm}$, height $h = 3.1\, \text{mm}$ and area $A = 11.78\, \text{mm}^2$. | 4 |
| 1006 | Find the long base $ a $ of a trapezoid if short base $b = 5.1\, \text{mm}$, height $h = 3.1\, \text{mm}$ and area $A = 11.78\, \text{mm}^2$. | 4 |
| 1007 | Find the long base $ a $ of a trapezoid if height $h = 10\, \text{ft}$, angle $\alpha = 8^o$ and angle $\beta = 8^o$. | 4 |
| 1008 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{ft}$, height $h = 10\, \text{ft}$ and angle $\beta = 8^o$. | 4 |
| 1009 | Find the long base $ a $ of a trapezoid if perimeter $P = 480\, \text{mm}$. | 4 |
| 1010 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mm}$, short base $b = 6\, \text{mm}$ and side $c = 5\, \text{mm}$. | 4 |
| 1011 | Find the long base $ a $ of a trapezoid if long base $a = 81\, \text{in}$ and side $c = 33\, \text{in}$. | 4 |
| 1012 | Find the angle $ \alpha $ of a trapezoid if long base $a = 11\, \text{ft}$ and side $c = 5.5\, \text{ft}$. | 4 |
| 1013 | Find the long base $ a $ of a trapezoid if side $c = 30\, \text{in}$ and angle $\alpha = 45^o$. | 4 |
| 1014 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{mm}$, short base $b = 7.5\, \text{mm}$ and height $h = 6.3975\, \text{mm}$. | 4 |
| 1015 | Find the long base $ a $ of a trapezoid if short base $b = 17.09\, \text{mm}$, height $h = 22\, \text{mm}$ and angle $\beta = 136.34^o$. | 4 |
| 1016 | Find the long base $ a $ of a trapezoid if side $c = 9\, \text{mm}$, diagonal $d = 15\, \text{mm}$, median $m = 9\, \text{mm}$ and perimeter $P = 36\, \text{mm}$. | 4 |
| 1017 | Find the height $ h $ of a trapezoid if side $c = 9\, \text{mm}$, diagonal $d = 15\, \text{mm}$, median $m = 9\, \text{mm}$ and perimeter $P = 36\, \text{mm}$. | 4 |
| 1018 | Find the long base $ a $ of a trapezoid if long base $a = 5.309\, \text{mm}$, short base $b = 3\, \text{mm}$ and angle $\alpha = 30^o$. | 4 |
| 1019 | Find the long base $ a $ of a trapezoid if long base $a = 81.4\, \text{m}$, short base $b = 65\, \text{m}$, side $c = 113.01\, \text{m}$ and area $A = 8085\, \text{m}^2$. | 4 |
| 1020 | Find the long base $ a $ of a trapezoid if long base $a = 26\, \text{km}$, short base $b = 19\, \text{cm}$ and side $c = 22\, \text{cm}$. | 4 |
| 1021 | Find the area $ A $ of a trapezoid if long base $a = 4.16\, \text{m}$, short base $b = 2.16\, \text{m}$ and side $c = 1.4\, \text{m}$. | 4 |
| 1022 | Find the median $ m $ of a trapezoid if long base $a = 220\, \text{mm}$, short base $b = 160\, \text{mm}$ and angle $\alpha = 90^o$. | 4 |
| 1023 | Find the angle $ \alpha $ of a trapezoid if long base $a = 94\, \text{in}$, short base $b = 52\, \text{in}$ and height $h = 30\, \text{in}$. | 4 |
| 1024 | Find the height $ h $ of a trapezoid if long base $a = 26\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 8\, \text{mm}$. | 4 |
| 1025 | Find the angle $ \beta $ of a trapezoid if long base $a = 26\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 8\, \text{mm}$. | 4 |
| 1026 | Find the long base $ a $ of a trapezoid if long base $a = 23\, \text{ft}$, short base $b = 15\, \text{cm}$ and side $c = 11.31\, \text{cm}$. | 4 |
| 1027 | Find the short base $ b $ of a trapezoid if long base $a = 20\, \text{cm}$, height $h = 30\, \text{mm}$ and angle $\alpha = 79.2^o$. | 4 |
| 1028 | Find the short base $ b $ of a trapezoid if long base $a = 20\, \text{cm}$, height $h = 30\, \text{cm}$ and angle $\alpha = 79.2^o$. | 4 |
| 1029 | Find the long base $ a $ of a trapezoid if long base $a = 25.5\, \text{mi}$, short base $b = 22\, \text{cm}$ and side $c = 24\, \text{cm}$. | 4 |
| 1030 | Find the short base $ b $ of a trapezoid if long base $a = 56.25\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 4 |
| 1031 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 34\, \text{mm}$, side $c = 30\, \text{mm}$ and height $h = 12\, \text{mm}$. | 4 |
| 1032 | Find the short base $ b $ of a trapezoid if long base $a = 3.6\, \text{mm}$, height $h = 3\, \text{mm}$ and area $A = 7.5\, \text{mm}^2$. | 4 |
| 1033 | Find the long base $ a $ of a trapezoid if long base $a = 70.583\, \text{ft}$, short base $b = 52.75\, \text{ft}$ and side $c = 23.25\, \text{ft}$. | 4 |
| 1034 | Find the long base $ a $ of a trapezoid if short base $b = 59\, \text{cm}$, side $c = 27\, \text{cm}$ and angle $\alpha = 45^o$. | 4 |
| 1035 | Find the long base $ a $ of a trapezoid if long base $a = 1250\, \text{mm}$, short base $b = 800\, \text{mm}$ and side $c = 936\, \text{mm}$. | 4 |
| 1036 | Find the long base $ a $ of a trapezoid if long base $a = 1250\, \text{cm}$, short base $b = 800\, \text{cm}$, side $c = 936\, \text{cm}$ and diagonal $d = 1438\, \text{cm}$. | 4 |
| 1037 | Find the long base $ a $ of a trapezoid if short base $b = 187.22\, \text{mm}$, height $h = 300\, \text{mm}$ and angle $\beta = 94.5^o$. | 4 |
| 1038 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{mm}$, height $h = 15\, \text{mm}$, angle $\alpha = 86^o$ and angle $\beta = 94^o$. | 4 |
| 1039 | Find the side $ c $ of a trapezoid if long base $a = 0.28\, \text{m}$, short base $b = 0.13\, \text{m}$ and height $h = 0.53\, \text{m}$. | 4 |
| 1040 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 16\, \text{mm}$ and median $m = 26\, \text{mm}$. | 4 |
| 1041 | Find the side $ c $ of a trapezoid if long base $a = 9.5\, \text{in}$, short base $b = 1.5\, \text{in}$ and height $h = 6\, \text{in}$. | 4 |
| 1042 | Find the angle $ \alpha $ of a trapezoid if side $c = 2.875\, \text{in}$. | 4 |
| 1043 | Find the median $ m $ of a trapezoid if long base $a = 1066.8\, \text{mm}$, short base $b = 812.8\, \text{mm}$ and height $h = 610\, \text{mm}$. | 4 |
| 1044 | Find the angle $ \alpha $ of a trapezoid if short base $b = 9\, \text{in}$, side $c = 30\, \text{in}$ and height $h = 33\, \text{in}$. | 4 |
| 1045 | Find the angle $ \alpha $ of a trapezoid if long base $a = 28\, \text{in}$, side $c = 30\, \text{in}$ and height $h = 33\, \text{in}$. | 4 |
| 1046 | Find the long base $ a $ of a trapezoid if long base $a = 144\, \text{in}$, short base $b = 96\, \text{in}$ and height $h = 138\, \text{in}$. | 4 |
| 1047 | Find the long base $ a $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 70\, \text{mm}$ and angle $\alpha = 80^o$. | 4 |
| 1048 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, side $c = 24\, \text{in}$, angle $\alpha = 22.5^o$ and angle $\beta = 22.5^o$. | 4 |
| 1049 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, side $c = 1\, \text{mm}$ and angle $\alpha = 60^o$. | 4 |
| 1050 | Find the long base $ a $ of a trapezoid if long base $a = 42100\, \text{mm}$, short base $b = 39400\, \text{mm}$, side $c = 16470\, \text{mm}$ and diagonal $d = 14100\, \text{mm}$. | 4 |
