Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1051 | Find the long base $ a $ of a trapezoid if short base $b = 1440\, \text{mm}$, side $c = 660\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 20^o$. | 4 |
| 1052 | Find the long base $ a $ of a trapezoid if long base $a = 93\, \text{in}$, diagonal $d = 103\, \text{in}$ and height $h = 48\, \text{in}$. | 4 |
| 1053 | Find the diagonal $ d $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 12\, \text{in}$, side $c = 46\, \text{mm}$ and angle $\alpha = 90^o$. | 4 |
| 1054 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{mm}$, short base $b = 12\, \text{mm}$ and height $h = 46\, \text{mm}$. | 4 |
| 1055 | Find the short base $ b $ of a trapezoid if long base $a = 0.734\, \text{in}$, height $h = 0.064\, \text{in}$ and angle $\alpha = 56^o$. | 4 |
| 1056 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{ft}$, angle $\alpha = 22.5^o$ and angle $\beta = 157.5^o$. | 3 |
| 1057 | Find the long base $ a $ of a trapezoid if short base $b = 2.75\, \text{in}$, height $h = \frac{ 5 }{ 8 }\, \text{mm}$ and angle $\alpha = 70.5^o$. | 3 |
| 1058 | Find the area $ A $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 5.2\, \text{mm}$ and side $c = 42.6\, \text{mm}$. | 3 |
| 1059 | Find the long base $ a $ of a trapezoid if long base $a = 46\, \text{in}$, side $c = 60\, \text{in}$ and angle $\alpha = 90^o$. | 3 |
| 1060 | Find the area $ A $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 18\, \text{mm}$ and angle $\alpha = 50^o$. | 3 |
| 1061 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 12\, \text{in}$. | 3 |
| 1062 | Find the height $ h $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 22\, \text{in}$ and side $c = 18\, \text{in}$. | 3 |
| 1063 | Find the area $ A $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 22\, \text{in}$ and height $h = 17.89\, \text{in}$. | 3 |
| 1064 | Find the short base $ b $ of a trapezoid if long base $a = 66\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 1065 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{in}$, height $h = 14\, \text{in}$, angle $\alpha = 22.5^o$ and angle $\beta = 67.5^o$. | 3 |
| 1066 | Find the long base $ a $ of a trapezoid if long base $a = 33\, \text{in}$, short base $b = 7\, \text{in}$ and side $c = 34.5\, \text{in}$. | 3 |
| 1067 | Find the height $ h $ of a trapezoid if long base $a = 33\, \text{in}$, short base $b = 7\, \text{in}$ and side $c = 34.5\, \text{in}$. | 3 |
| 1068 | Find the long base $ a $ of a trapezoid if side $c = 30\, \text{in}$, height $h = 33\, \text{in}$ and angle $\alpha = 71^o$. | 3 |
| 1069 | Find the short base $ b $ of a trapezoid if long base $a = 83.5\, \text{in}$, height $h = 48\, \text{in}$ and angle $\alpha = 22.5^o$. | 3 |
| 1070 | Find the area $ A $ of a trapezoid if long base $a = 2.3\, \text{mm}$, height $h = 3.5\, \text{mm}$ and angle $\alpha = 60^o$. | 3 |
| 1071 | Find the long base $ a $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 70\, \text{mm}$, angle $\alpha = 80^o$ and angle $\beta = 100^o$. | 3 |
| 1072 | Find the short base $ b $ of a trapezoid if long base $a = 84.5\, \text{in}$, height $h = 13.75\, \text{in}$ and angle $\alpha = 60^o$. | 3 |
| 1073 | Find the side $ c $ of a trapezoid if long base $a = 4000\, \text{mm}$, angle $\alpha = 68.6667^o$ and angle $\beta = 72.1667^o$. | 3 |
| 1074 | Find the short base $ b $ of a trapezoid if long base $a = 230\, \text{mm}$, side $c = 60\, \text{mm}$ and diagonal $d = 60\, \text{mm}$. | 3 |
| 1075 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 51\, \text{in}$ and side $c = 24\, \text{in}$. | 3 |
| 1076 | Find the long base $ a $ of a trapezoid if long base $a = 44\, \text{in}$, short base $b = 9.7\, \text{in}$, side $c = 106.5\, \text{in}$, angle $\alpha = 88.4^o$ and angle $\beta = 91.5^o$. | 3 |
| 1077 | Find the short base $ b $ of a trapezoid if long base $a = 48\, \text{in}$ and side $c = 28\, \text{in}$. | 3 |
| 1078 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{mm}$, diagonal $d = 24\, \text{mm}$ and height $h = 20\, \text{mm}$. | 3 |
| 1079 | Find the long base $ a $ of a trapezoid if long base $a = 450\, \text{mm}$, side $c = 300\, \text{mm}$ and height $h = 300\, \text{mm}$. | 3 |
| 1080 | Find the long base $ a $ of a trapezoid if short base $b = 24\, \text{mm}$, side $c = 24\, \text{mm}$ and height $h = 20\, \text{mm}$. | 3 |
| 1081 | Find the side $ c $ of a trapezoid if long base $a = 99\, \text{cm}$, short base $b = 44\, \text{cm}$ and height $h = 60\, \text{cm}$. | 3 |
| 1082 | Find the side $ c $ of a trapezoid if long base $a = 25\, \text{in}$, short base $b = 12.8\, \text{in}$ and side $c = 17.1\, \text{in}$. | 3 |
| 1083 | Find the short base $ b $ of a trapezoid if long base $a = 2.2\, \text{mm}$ and angle $\alpha = 55^o$. | 3 |
| 1084 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{mm}$, short base $b = 36\, \text{mm}$, side $c = 9\, \text{in}$ and diagonal $d = 9\, \text{in}$. | 3 |
| 1085 | Find the height $ h $ of a trapezoid if long base $a = 816\, \text{mm}$, angle $\alpha = 31.82^o$ and angle $\beta = 148.18^o$. | 3 |
| 1086 | Find the long base $ a $ of a trapezoid if long base $a = 54.5\, \text{in}$. | 3 |
| 1087 | Find the long base $ a $ of a trapezoid if short base $b = 7.3125\, \text{in}$, side $c = 12.4\, \text{in}$ and height $h = 10\, \text{in}$. | 3 |
| 1088 | Find the long base $ a $ of a trapezoid if short base $b = 28\, \text{ft}$, side $c = 3.5\, \text{ft}$ and height $h = 0.5\, \text{ft}$. | 3 |
| 1089 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{mm}$, height $h = 16\, \text{mm}$ and angle $\alpha = 40^o$. | 3 |
| 1090 | Find the long base $ a $ of a trapezoid if short base $b = 40.375\, \text{in}$, side $c = 6.5\, \text{mm}$ and height $h = 5.25\, \text{mm}$. | 3 |
| 1091 | Find the diagonal $ d $ of a trapezoid if long base $a = 105\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 72\, \text{in}$. | 3 |
| 1092 | Find the angle $ \alpha $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 15\, \text{in}$ and side $c = 53.625\, \text{in}$. | 3 |
| 1093 | Find the side $ c $ of a trapezoid if long base $a = 11\, \text{cm}$, short base $b = 8\, \text{cm}$ and median $m = 9.5\, \text{cm}$. | 3 |
| 1094 | Find the long base $ a $ of a trapezoid if long base $a = 566\, \text{mm}$, short base $b = 323\, \text{mm}$ and angle $\alpha = 40^o$. | 3 |
| 1095 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{m}$, short base $b = 3\, \text{m}$ and height $h = 3\, \text{m}$. | 3 |
| 1096 | Find the long base $ a $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 90.75\, \text{in}$. | 3 |
| 1097 | Find the perimeter $ P $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 90.75\, \text{in}$. | 3 |
| 1098 | Find the area $ A $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 90.75\, \text{in}$. | 3 |
| 1099 | Find the diagonal $ d $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 90.75\, \text{in}$. | 3 |
| 1100 | Find the short base $ b $ of a trapezoid if long base $a = 1206\, \text{ft}$, height $h = 247\, \text{ft}$, angle $\alpha = 52^o$ and angle $\beta = 52^o$. | 3 |
