Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1101 | Find the diagonal $ d $ of a trapezoid if long base $a = 10\, \text{mm}$, height $h = 6\, \text{mm}$ and area $A = 52\, \text{mm}^2$. | 4 |
| 1102 | Find the angle $ \beta $ of a trapezoid if long base $a = 170\, \text{mm}$, short base $b = 130\, \text{mm}$ and height $h = 170\, \text{mm}$. | 4 |
| 1103 | Find the angle $ \beta $ of a trapezoid if long base $a = 170\, \text{mm}$, short base $b = 90\, \text{mm}$ and height $h = 170\, \text{mm}$. | 4 |
| 1104 | Find the long base $ a $ of a trapezoid if short base $b = 1.52\, \text{cm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 4 |
| 1105 | Find the long base $ a $ of a trapezoid if long base $a = 152\, \text{mm}$, short base $b = 116\, \text{mm}$, height $h = 60\, \text{mm}$ and area $A = 8040\, \text{mm}^2$. | 4 |
| 1106 | Find the long base $ a $ of a trapezoid if long base $a = 152\, \text{mm}$, short base $b = 116\, \text{mm}$ and height $h = 60\, \text{mm}$. | 4 |
| 1107 | Find the diagonal $ d $ of a trapezoid if long base $a = 1067\, \text{mm}$, height $h = 6\, \text{mm}$ and area $A = 52\, \text{mm}^2$. | 4 |
| 1108 | Find the long base $ a $ of a trapezoid if ???. | 4 |
| 1109 | Find the long base $ a $ of a trapezoid if long base $a = 70.5\, \text{in}$, short base $b = 2.75\, \text{in}$ and height $h = \frac{ 5 }{ 8 }\, \text{in}$. | 4 |
| 1110 | Find the long base $ a $ of a trapezoid if short base $b = 2.75\, \text{in}$, height $h = \frac{ 5 }{ 8 }\, \text{in}$ and angle $\alpha = 70.5^o$. | 4 |
| 1111 | Find the long base $ a $ of a trapezoid if long base $a = 5.75\, \text{mm}$, height $h = \frac{ 5 }{ 8 }\, \text{in}$ and angle $\alpha = 70.5^o$. | 4 |
| 1112 | 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 |
| 1113 | 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 |
| 1114 | 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 |
| 1115 | 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 |
| 1116 | 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 |
| 1117 | Find the long base $ a $ of a trapezoid if side $c = 6\, \text{mm}$, height $h = 3 \sqrt{ 2 }\, \text{mm}$, area $A = 30\, \text{mm}^2$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 1118 | Find the long base $ a $ of a trapezoid if short base $b = 11\, \text{cm}$, height $h = 1.5\, \text{cm}$, angle $\alpha = 15^o$ and angle $\beta = 105^o$. | 4 |
| 1119 | Find the long base $ a $ of a trapezoid if short base $b = 11\, \text{cm}$, height $h = 1.5\, \text{cm}$ and angle $\alpha = 15^o$. | 4 |
| 1120 | 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 |
| 1121 | 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 |
| 1122 | 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 |
| 1123 | 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 |
| 1124 | 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 |
| 1125 | 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 |
| 1126 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{in}$, short base $b = 13.5\, \text{in}$, side $c = 19\, \text{in}$ and diagonal $d = 19\, \text{in}$. | 3 |
| 1127 | Find the long base $ a $ of a trapezoid if long base $a = 142\, \text{mm}$, short base $b = 130\, \text{mm}$ and side $c = 100\, \text{mm}$. | 3 |
| 1128 | Find the long base $ a $ of a trapezoid if side $c = 50\, \text{mm}$, angle $\alpha = 77^o$ and angle $\beta = 103^o$. | 3 |
| 1129 | Find the long base $ a $ of a trapezoid if long base $a = 1840\, \text{mm}$, short base $b = 1424\, \text{mm}$ and side $c = 1604\, \text{mm}$. | 3 |
| 1130 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{ft}$, short base $b = 1915\, \text{mm}$, side $c = 49\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1131 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{ft}$, side $c = 7\, \text{ft}$ and height $h = 12\, \text{ft}$. | 3 |
| 1132 | Find the angle $ \alpha $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 0.6\, \text{mm}$ and side $c = 1.5\, \text{mm}$. | 3 |
| 1133 | Find the angle $ \beta $ of a trapezoid if long base $a = 40\, \text{ft}$ and short base $b = 15\, \text{ft}$. | 3 |
| 1134 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, side $c = 16\, \text{in}$ and angle $\alpha = 60^o$. | 3 |
| 1135 | Find the angle $ \beta $ of a trapezoid if long base $a = 260\, \text{cm}$, short base $b = 125\, \text{cm}$, side $c = 94\, \text{cm}$ and height $h = 65\, \text{cm}$. | 3 |
| 1136 | Find the long base $ a $ of a trapezoid if short base $b = 2790\, \text{mm}$, height $h = 1500\, \text{mm}$ and angle $\beta = 135^o$. | 3 |
| 1137 | Find the long base $ a $ of a trapezoid if long base $a = 11.3\, \text{mm}$, short base $b = 2.9\, \text{mm}$ and area $A = 113.6\, \text{mm}^2$. | 3 |
| 1138 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 6\, \text{mm}$ and angle $\alpha = 60^o$. | 3 |
| 1139 | Find the long base $ a $ of a trapezoid if long base $a = 379.63\, \text{ft}$, short base $b = 347.1\, \text{ft}$ and side $c = 362.93\, \text{ft}$. | 3 |
| 1140 | Find the side $ c $ of a trapezoid if long base $a = 361\, \text{ft}$, short base $b = 280\, \text{ft}$ and height $h = 217\, \text{ft}$. | 3 |
| 1141 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{m}$, short base $b = 18\, \text{m}$ and angle $\alpha = 90^o$. | 3 |
| 1142 | Find the angle $ \beta $ of a trapezoid if long base $a = 37\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 42\, \text{in}$. | 3 |
| 1143 | Find the short base $ b $ of a trapezoid if long base $a = 7.5\, \text{m}$, height $h = 1.75\, \text{m}$ and angle $\alpha = 45^o$. | 3 |
| 1144 | Find the short base $ b $ of a trapezoid if long base $a = 2.5\, \text{in}$, height $h = 1\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 3 |
| 1145 | Find the short base $ b $ of a trapezoid if long base $a = 2.5\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 45^o$. | 3 |
| 1146 | Find the long base $ a $ of a trapezoid if long base $a = 418\, \text{mm}$, short base $b = 280\, \text{mm}$ and height $h = 518\, \text{mm}$. | 3 |
| 1147 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 16\, \text{in}$ and angle $\alpha = 45^o$. | 3 |
| 1148 | Find the long base $ a $ of a trapezoid if short base $b = 32\, \text{ft}$, height $h = 17.37\, \text{ft}$, angle $\alpha = 47.41^o$ and angle $\beta = 132.6^o$. | 3 |
| 1149 | Find the long base $ a $ of a trapezoid if short base $b = 187.72\, \text{mm}$, height $h = 300\, \text{mm}$ and angle $\beta = 94.5^o$. | 3 |
| 1150 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$ and short base $b = 50\, \text{mm}$. | 3 |
