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 angle $ \beta $ of a trapezoid if long base $a = 99\, \text{cm}$, side $c = 44\, \text{cm}$ and height $h = 59\, \text{cm}$. | 4 |
| 1052 | Find the angle $ \alpha $ of a trapezoid if long base $a = 99\, \text{cm}$, short base $b = 44\, \text{cm}$ and height $h = 59\, \text{cm}$. | 4 |
| 1053 | Find the side $ c $ of a trapezoid if long base $a = 99\, \text{cm}$, short base $b = 44\, \text{cm}$ and height $h = 59\, \text{cm}$. | 4 |
| 1054 | Find the short base $ b $ of a trapezoid if long base $a = 11\, \text{mm}$, height $h = 2\, \text{mm}$ and angle $\alpha = 60^o$. | 4 |
| 1055 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{m}$, short base $b = 4\, \text{m}$, side $c = 10\, \text{m}$ and height $h = 5\, \text{m}$. | 4 |
| 1056 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 5\, \text{mm}$. | 4 |
| 1057 | Find the perimeter $ P $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 4\, \text{mm}$, side $c = 10\, \text{mm}$ and height $h = 5\, \text{mm}$. | 4 |
| 1058 | Find the long base $ a $ of a trapezoid if long base $a = 11.3125\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 1059 | Find the long base $ a $ of a trapezoid if short base $b = 11.3125\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 1060 | Find the long base $ a $ of a trapezoid if short base $b = 11.3125\, \text{in}$, height $h = 3\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 1061 | Find the long base $ a $ of a trapezoid if short base $b = 11.3125\, \text{in}$, height $h = 3\, \text{in}$ and angle $\alpha = 45^o$. | 4 |
| 1062 | Find the long base $ a $ of a trapezoid if short base $b = 11.3125\, \text{in}$, height $h = 3\, \text{in}$ and angle $\beta = 135^o$. | 4 |
| 1063 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{mm}$, short base $b = 25\, \text{mm}$ and area $A = 1800\, \text{mm}^2$. | 4 |
| 1064 | Find the long base $ a $ of a trapezoid if long base $a = 299\, \text{mm}$, short base $b = 228\, \text{mm}$ and height $h = 76\, \text{mm}$. | 4 |
| 1065 | Find the long base $ a $ of a trapezoid if long base $a = 1605\, \text{mm}$, short base $b = 495\, \text{mm}$ and side $c = 915\, \text{mm}$. | 4 |
| 1066 | Find the height $ h $ of a trapezoid if long base $a = 211.98\, \text{mm}$, short base $b = 200.68\, \text{mm}$ and side $c = 30\, \text{mm}$. | 4 |
| 1067 | Find the height $ h $ of a trapezoid if long base $a = 232.25\, \text{mm}$, short base $b = 200.68\, \text{mm}$ and side $c = 47.24\, \text{mm}$. | 4 |
| 1068 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{in}$ and side $c = 2\, \text{in}$. | 4 |
| 1069 | Find the short base $ b $ of a trapezoid if long base $a = 4\, \text{in}$ and side $c = 2\, \text{in}$. | 4 |
| 1070 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 5\, \text{mm}$. | 4 |
| 1071 | Find the long base $ a $ of a trapezoid if height $h = 6\, \text{mm}$, angle $\alpha = 83^o$ and angle $\beta = 97^o$. | 4 |
| 1072 | Find the long base $ a $ of a trapezoid if short base $b = 13.4\, \text{mm}$, height $h = 22\, \text{mm}$ and angle $\alpha = 83^o$. | 4 |
| 1073 | Find the long base $ a $ of a trapezoid if short base $b = 18.8\, \text{mm}$, height $h = 22\, \text{mm}$ and angle $\alpha = 83^o$. | 4 |
| 1074 | Find the long base $ a $ of a trapezoid if long base $a = 4.4\, \text{mm}$, short base $b = 8\, \text{mm}$, diagonal $d = 6.8\, \text{mm}$ and height $h = 2.8\, \text{mm}$. | 4 |
| 1075 | Find the long base $ a $ of a trapezoid if long base $a = 4.4\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 2.8\, \text{mm}$. | 4 |
| 1076 | Find the long base $ a $ of a trapezoid if long base $a = 21\, \text{in}$, short base $b = 18\, \text{in}$ and height $h = 15\, \text{in}$. | 4 |
| 1077 | Find the side $ c $ of a trapezoid if long base $a = 21\, \text{in}$, short base $b = 18\, \text{in}$ and height $h = 15\, \text{in}$. | 4 |
| 1078 | Find the height $ h $ of a trapezoid if long base $a = 15\, \text{m}$, short base $b = 9\, \text{m}$ and angle $\alpha = 37^o$. | 4 |
| 1079 | Find the diagonal $ d $ of a trapezoid if long base $a = 15\, \text{m}$, short base $b = 9\, \text{m}$ and angle $\alpha = 37^o$. | 4 |
| 1080 | Find the long base $ a $ of a trapezoid if short base $b = 54\, \text{ft}$, height $h = 22\, \text{ft}$ and area $A = 1265\, \text{mm}^2$. | 4 |
| 1081 | Find the long base $ a $ of a trapezoid if short base $b = 54\, \text{ft}$, height $h = 22\, \text{ft}$ and area $A = 1265\, \text{ft}^2$. | 4 |
| 1082 | Find the side $ c $ of a trapezoid if short base $b = 54\, \text{ft}$, height $h = 22\, \text{ft}$ and area $A = 1265\, \text{ft}^2$. | 4 |
| 1083 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{mm}$, short base $b = 5\, \text{mm}$, side $c = 5\, \text{mm}$ and height $h = 4\, \text{mm}$. | 4 |
| 1084 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{in}$ and side $c = 5.87\, \text{in}$. | 4 |
| 1085 | Find the short base $ b $ of a trapezoid if long base $a = 300\, \text{cm}$, side $c = 105\, \text{cm}$ and angle $\alpha = 35^o$. | 4 |
| 1086 | Find the long base $ a $ of a trapezoid if long base $a = 164\, \text{mm}$, short base $b = 156.4\, \text{mm}$, side $c = 54\, \text{mm}$, height $h = 164\, \text{mm}$ and perimeter $P = 394.4\, \text{cm}$. | 4 |
| 1087 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 4 |
| 1088 | Find the short base $ b $ of a trapezoid if long base $a = 161\, \text{mm}$, angle $\alpha = 158^o$ and angle $\beta = 22^o$. | 4 |
| 1089 | Find the short base $ b $ of a trapezoid if long base $a = 161\, \text{mm}$, height $h = 100\, \text{mm}$ and angle $\alpha = 158^o$. | 4 |
| 1090 | Find the angle $ \alpha $ of a trapezoid if long base $a = 310\, \text{mm}$, short base $b = 280\, \text{mm}$ and height $h = 45\, \text{mm}$. | 4 |
| 1091 | Find the diagonal $ d $ of a trapezoid if long base $a = 105\, \text{in}$, short base $b = 16\, \text{in}$, height $h = 72\, \text{in}$, area $A = 4356\, \text{in}^2$ and perimeter $P = 290.3\, \text{in}$. | 4 |
| 1092 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{m}$, height $h = 0.335\, \text{m}$ and angle $\alpha = 33.69^o$. | 4 |
| 1093 | Find the long base $ a $ of a trapezoid if long base $a = 140\, \text{mm}$, short base $b = 70\, \text{mm}$ and height $h = 140\, \text{mm}$. | 4 |
| 1094 | Find the long base $ a $ of a trapezoid if long base $a = 10.5\, \text{mm}$, short base $b = 10\, \text{mm}$, side $c = 1.5\, \text{mm}$ and diagonal $d = 5\, \text{mm}$. | 4 |
| 1095 | Find the long base $ a $ of a trapezoid if long base $a = 10176\, \text{mm}$ and short base $b = 4950\, \text{mm}$. | 4 |
| 1096 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 5 \sqrt{ 2 }\, \text{mm}$, side $c = 5\, \text{mm}$, diagonal $d = 5 \sqrt{ 2 }\, \text{mm}$ and angle $\alpha = 90^o$. | 4 |
| 1097 | Find the angle $ \alpha $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 90.75\, \text{in}$. | 4 |
| 1098 | Find the angle $ \beta $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 90.75\, \text{in}$. | 4 |
| 1099 | Find the long base $ a $ of a trapezoid if long base $a = 1206\, \text{ft}$, height $h = 247\, \text{ft}$, angle $\alpha = 52^o$ and angle $\beta = 52^o$. | 4 |
| 1100 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{ft}$, short base $b = 1.5\, \text{ft}$ and height $h = 2\, \text{ft}$. | 4 |
