Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1001 | 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 |
| 1002 | 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 |
| 1003 | 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 |
| 1004 | 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 |
| 1005 | Find the long base $ a $ of a trapezoid if long base $a = 10176\, \text{mm}$ and short base $b = 4950\, \text{mm}$. | 4 |
| 1006 | 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 |
| 1007 | 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 |
| 1008 | 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 |
| 1009 | 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 |
| 1010 | 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 |
| 1011 | 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 |
| 1012 | 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 |
| 1013 | 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 |
| 1014 | 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 |
| 1015 | 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 |
| 1016 | 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 |
| 1017 | Find the height $ h $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 3.5\, \text{mm}$ and angle $\alpha = 60^o$. | 4 |
| 1018 | 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 |
| 1019 | 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 |
| 1020 | 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 |
| 1021 | 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 |
| 1022 | 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 |
| 1023 | 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 |
| 1024 | 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 |
| 1025 | 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 |
| 1026 | 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 |
| 1027 | 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 |
| 1028 | 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 |
| 1029 | 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 |
| 1030 | 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 |
| 1031 | 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 |
| 1032 | 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 |
| 1033 | 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 |
| 1034 | 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 |
| 1035 | 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 |
| 1036 | 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 |
| 1037 | 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 |
| 1038 | 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 |
| 1039 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{in}$ and side $c = 5.87\, \text{in}$. | 4 |
| 1040 | 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 |
| 1041 | 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 |
| 1042 | 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 |
| 1043 | 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 |
| 1044 | 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 |
| 1045 | 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 |
| 1046 | Find the long base $ a $ of a trapezoid if ???. | 4 |
| 1047 | 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 |
| 1048 | 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 |
| 1049 | 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 |
| 1050 | 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 |
