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 $a = 15\, \text{m}$, short base $b = 9\, \text{m}$ and angle $\alpha = 37^o$. | 4 |
| 1102 | 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 |
| 1103 | 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 |
| 1104 | 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 |
| 1105 | 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 |
| 1106 | 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 |
| 1107 | 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 |
| 1108 | 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 |
| 1109 | 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 |
| 1110 | 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 |
| 1111 | 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 |
| 1112 | 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 |
| 1113 | 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 |
| 1114 | 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 |
| 1115 | 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 |
| 1116 | 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 |
| 1117 | 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 |
| 1118 | 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 |
| 1119 | 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 |
| 1120 | 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 |
| 1121 | 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 |
| 1122 | 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 |
| 1123 | 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 |
| 1124 | 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 |
| 1125 | 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 |
| 1126 | Find the long base $ a $ of a trapezoid if ???. | 4 |
| 1127 | 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 |
| 1128 | 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 |
| 1129 | 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 |
| 1130 | 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 |
| 1131 | 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 |
| 1132 | 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 |
| 1133 | 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 |
| 1134 | 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 |
| 1135 | 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 |
| 1136 | 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 |
| 1137 | 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 |
| 1138 | 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 |
| 1139 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{in}$ and side $c = 5.87\, \text{in}$. | 4 |
| 1140 | 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 |
| 1141 | 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 |
| 1142 | 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 |
| 1143 | 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 |
| 1144 | 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 |
| 1145 | 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 |
| 1146 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 8\, \text{mm}$ and angle $\alpha = 65^o$. | 4 |
| 1147 | Find the long base $ a $ of a trapezoid if long base $a = 26\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 60.75\, \text{mm}$. | 4 |
| 1148 | Find the area $ A $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 80\, \text{mm}$ and height $h = 60\, \text{mm}$. | 4 |
| 1149 | Find the long base $ a $ of a trapezoid if median $m = 15\, \text{cm}$. | 4 |
| 1150 | Find the side $ c $ of a trapezoid if long base $a = 22.35\, \text{mm}$, height $h = 13.4\, \text{mm}$ and angle $\beta = 110^o$. | 4 |
