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 area $ A $ of a trapezoid if long base $a = 8.7\, \text{mm}$, short base $b = 3.1\, \text{mm}$ and side $c = 4\, \text{mm}$. | 3 |
| 1102 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 24.4\, \text{in}$, side $c = 41\, \text{in}$ and diagonal $d = 41\, \text{in}$. | 3 |
| 1103 | Find the height $ h $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 24.4\, \text{in}$, side $c = 41\, \text{in}$ and diagonal $d = 41\, \text{in}$. | 3 |
| 1104 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, height $h = 12\, \text{mm}$ and angle $\alpha = 15^o$. | 3 |
| 1105 | Find the diagonal $ d $ of a trapezoid if long base $a = 10\, \text{mm}$, height $h = 6\, \text{mm}$ and area $A = 52\, \text{mm}^2$. | 3 |
| 1106 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{ft}$, side $c = 16\, \text{ft}$ and angle $\alpha = 45^o$. | 3 |
| 1107 | Find the long base $ a $ of a trapezoid if long base $a = 56\, \text{ft}$, short base $b = 37\, \text{mm}$ and angle $\alpha = 40^o$. | 3 |
| 1108 | Find the long base $ a $ of a trapezoid if long base $a = 36.75\, \text{mm}$, short base $b = 28.75\, \text{mm}$ and height $h = 14\, \text{mm}$. | 3 |
| 1109 | Find the long base $ a $ of a trapezoid if long base $a = 100\, \text{cm}$, short base $b = 40\, \text{cm}$ and side $c = 82\, \text{cm}$. | 3 |
| 1110 | Find the long base $ a $ of a trapezoid if long base $a = 70.2396\, \text{ft}$, short base $b = 55\, \text{ft}$ and height $h = 18.1789\, \text{ft}$. | 3 |
| 1111 | Find the height $ h $ of a trapezoid if long base $a = 70.2396\, \text{ft}$, short base $b = 55\, \text{ft}$ and angle $\alpha = 75^o$. | 3 |
| 1112 | Find the long base $ a $ of a trapezoid if long base $a = 32\, \text{ft}$, short base $b = 21\, \text{ft}$ and height $h = 71\, \text{ft}$. | 3 |
| 1113 | Find the short base $ b $ of a trapezoid if long base $a = 350\, \text{cm}$, side $c = 105\, \text{cm}$ and angle $\alpha = 40^o$. | 3 |
| 1114 | Find the short base $ b $ of a trapezoid if long base $a = 36\, \text{in}$ and height $h = 24\, \text{in}$. | 3 |
| 1115 | Find the area $ A $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 21\, \text{mm}$ and height $h = 12\, \text{mm}$. | 3 |
| 1116 | Find the angle $ \alpha $ of a trapezoid if long base $a = 820\, \text{mm}$, short base $b = 850\, \text{mm}$, side $c = 600\, \text{mm}$ and diagonal $d = 380\, \text{mm}$. | 3 |
| 1117 | Find the long base $ a $ of a trapezoid if long base $a = 1895\, \text{mi}$, short base $b = 1126\, \text{cm}$ and height $h = 698\, \text{cm}$. | 3 |
| 1118 | Find the area $ A $ of a trapezoid if short base $b = 19500\, \text{mm}$, side $c = 11000\, \text{mm}$ and height $h = 9480\, \text{mm}$. | 3 |
| 1119 | Find the area $ A $ of a trapezoid if long base $a = 21.75\, \text{ft}$, short base $b = 14.75\, \text{ft}$ and height $h = 15\, \text{ft}$. | 3 |
| 1120 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{mm}$, height $h = 10\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 3 |
| 1121 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{ft}$, side $c = 6\, \text{ft}$ and height $h = 4\, \text{ft}$. | 3 |
| 1122 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{ft}$, side $c = 6\, \text{ft}$ and height $h = 6\, \text{ft}$. | 3 |
| 1123 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{ft}$, side $c = 6\, \text{ft}$ and height $h = 2\, \text{ft}$. | 3 |
| 1124 | Find the angle $ \beta $ of a trapezoid if long base $a = 95\, \text{mm}$, short base $b = 102\, \text{mm}$, side $c = 60\, \text{mm}$, diagonal $d = 25\, \text{mm}$, height $h = 60\, \text{mm}$, median $m = 95\, \text{mm}$, perimeter $P = 282\, \text{mm}$ and angle $\alpha = 90^o$. | 3 |
| 1125 | Find the side $ c $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 2\, \text{in}$ and angle $\alpha = 30^o$. | 3 |
| 1126 | Find the side $ c $ of a trapezoid if long base $a = 4.5\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 72^o$. | 3 |
| 1127 | Find the height $ h $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 15\, \text{in}$ and angle $\alpha = 30^o$. | 3 |
| 1128 | Find the side $ c $ of a trapezoid if long base $a = 2.78\, \text{in}$, height $h = 1.5\, \text{in}$ and angle $\alpha = 72^o$. | 3 |
| 1129 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 35^o$. | 3 |
| 1130 | Find the long base $ a $ of a trapezoid if long base $a = 55.9\, \text{ft}$, short base $b = 45.6\, \text{ft}$ and side $c = 41.3\, \text{ft}$. | 3 |
| 1131 | Find the short base $ b $ of a trapezoid if long base $a = 13\, \text{mm}$ and height $h = 10\, \text{mm}$. | 3 |
| 1132 | Find the short base $ b $ of a trapezoid if long base $a = 161\, \text{mm}$, height $h = 100\, \text{mm}$ and angle $\alpha = 22^o$. | 3 |
| 1133 | Find the long base $ a $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 20\, \text{in}$. | 3 |
| 1134 | Find the side $ c $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 20\, \text{in}$. | 3 |
| 1135 | Find the short base $ b $ of a trapezoid if side $c = 7$, diagonal $d = \frac{ 206799 }{ 10000 }$ and angle $\alpha = 70^o$. | 3 |
| 1136 | Find the long base $ a $ of a trapezoid if long base $a = 25$ and height $h = 16$. | 3 |
| 1137 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 5$, side $c = 9$ and height $h = 8$. | 3 |
| 1138 | Find the side $ c $ of a trapezoid if long base $a = 78$, short base $b = 56$ and height $h = 39$. | 3 |
| 1139 | Find the of a trapezoid if long base $a = 350$, short base $b = 250$ and height $h = 1000$. | 3 |
| 1140 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 34287 }{ 6250 }$, side $c = 10.5186$, height $h = \frac{ 10517 }{ 1000 }$ and angle $\alpha = 89^o$. | 3 |
| 1141 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 34287 }{ 6250 }$, height $h = \frac{ 10517 }{ 1000 }$ and angle $\alpha = 89^o$. | 3 |
| 1142 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 34287 }{ 6250 }$, height $h = \frac{ 10517 }{ 1000 }$ and angle $\beta = 92^o$. | 3 |
| 1143 | Find the angle $ \beta $ of a trapezoid if long base $a = 38$, side $c = \frac{ 65 }{ 2 }$ and height $h = 30$. | 3 |
| 1144 | Find the short base $ b $ of a trapezoid if long base $a = 23$, height $h = 8$ and area $A = 160$. | 3 |
| 1145 | Find the long base $ a $ of a trapezoid if long base $a = 24$, short base $b = 12$ and side $c = 24$. | 3 |
| 1146 | Find the short base $ b $ of a trapezoid if short base $b = 7$, height $h = \frac{ 3 }{ 2 }$ and angle $\beta = 92^o$. | 3 |
| 1147 | Find the side $ c $ of a trapezoid if long base $a = 2000$, short base $b = 500$ and height $h = 2000$. | 3 |
| 1148 | Find the long base $ a $ of a trapezoid if long base $a = 48$, short base $b = 42$ and area $A = 225$. | 3 |
| 1149 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 11 }{ 4 }$, short base $b = \frac{ 1 }{ 2 }$ and side $c = 43$. | 3 |
| 1150 | Find the area $ A $ of a trapezoid if long base $a = 20$, side $c = 12$ and diagonal $d = 16$. | 3 |
