Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 6051 | Find the long base $ a $ of a trapezoid if long base $a = 61.57\, \text{in}$, short base $b = 55.22\, \text{in}$, height $h = 5.5\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 6052 | Find the height $ h $ of a trapezoid if long base $a = 1550\, \text{mm}$, short base $b = 500\, \text{mm}$, median $m = 500\, \text{mm}$ and angle $\alpha = 49.4^o$. | 2 |
| 6053 | Find the short base $ b $ of a trapezoid if long base $a = 28\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 6054 | Find the long base $ a $ of a trapezoid if long base $a = 778\, \text{mm}$ and angle $\alpha = 22.5^o$. | 2 |
| 6055 | Find the short base $ b $ of a trapezoid if long base $a = 778\, \text{mm}$ and angle $\alpha = 22.5^o$. | 2 |
| 6056 | Find the short base $ b $ of a trapezoid if long base $a = 778\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 2 |
| 6057 | Find the long base $ a $ of a trapezoid if long base $a = 600\, \text{mm}$, short base $b = 100\, \text{mm}$ and side $c = 500\, \text{mm}$. | 2 |
| 6058 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 40\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 6059 | Find the long base $ a $ of a trapezoid if long base $a = 92\, \text{in}$, short base $b = 22\, \text{in}$, side $c = 12\, \text{ft}$, height $h = 12\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 6060 | Find the long base $ a $ of a trapezoid if short base $b = 102\, \text{in}$, side $c = 22\, \text{in}$ and height $h = 55\, \text{in}$. | 2 |
| 6061 | Find the long base $ a $ of a trapezoid if short base $b = 102\, \text{in}$, side $c = 22\, \text{in}$ and height $h = 20\, \text{in}$. | 2 |
| 6062 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{in}$, side $c = 24\, \text{in}$ and angle $\beta = 56.31^o$. | 2 |
| 6063 | Find the long base $ a $ of a trapezoid if long base $a = 52\, \text{mm}$, short base $b = 39\, \text{mm}$ and side $c = 72\, \text{mm}$. | 2 |
| 6064 | Find the area $ A $ of a trapezoid if long base $a = 52\, \text{ft}$, short base $b = 39\, \text{ft}$ and height $h = 72\, \text{mm}$. | 2 |
| 6065 | Find the area $ A $ of a trapezoid if long base $a = 52\, \text{ft}$, short base $b = 39\, \text{ft}$ and side $c = 72\, \text{ft}$. | 2 |
| 6066 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$ and side $c = 15.2\, \text{mm}$. | 2 |
| 6067 | Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{in}$, side $c = 1.4142\, \text{in}$ and height $h = 1\, \text{in}$. | 2 |
| 6068 | Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 6069 | Find the long base $ a $ of a trapezoid if long base $a = 93\, \text{in}$ and side $c = 276\, \text{mm}$. | 2 |
| 6070 | Find the long base $ a $ of a trapezoid if short base $b = 47.75\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 6071 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{in}$, height $h = 3\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 6072 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 5\, \text{in}$ and height $h = 18\, \text{in}$. | 2 |
| 6073 | Find the angle $ \alpha $ of a trapezoid if long base $a = 48\, \text{ft}$, short base $b = 24\, \text{ft}$ and height $h = 30\, \text{ft}$. | 2 |
| 6074 | Find the side $ c $ of a trapezoid if long base $a = 14\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 4\, \text{mm}$. | 2 |
| 6075 | Find the short base $ b $ of a trapezoid if long base $a = 1035\, \text{mm}$, short base $b = 60\, \text{mm}$ and side $c = 2360\, \text{mm}$. | 2 |
| 6076 | Find the long base $ a $ of a trapezoid if long base $a = 180\, \text{mm}$, short base $b = 110\, \text{mm}$ and side $c = 260\, \text{mm}$. | 2 |
| 6077 | Find the long base $ a $ of a trapezoid if long base $a = 34.75\, \text{in}$, height $h = 26.25\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 6078 | Find the short base $ b $ of a trapezoid if long base $a = 34.75\, \text{in}$, height $h = 26.25\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 6079 | Find the short base $ b $ of a trapezoid if long base $a = 34.75\, \text{in}$, height $h = 26.25\, \text{in}$ and angle $\alpha = 90^o$. | 2 |
| 6080 | Find the diagonal $ d $ of a trapezoid if long base $a = 1524\, \text{mm}$, short base $b = 1487.49\, \text{mm}$ and height $h = 466.73\, \text{mm}$. | 2 |
| 6081 | Find the diagonal $ d $ of a trapezoid if long base $a = 1524\, \text{mm}$, short base $b = 1487.49\, \text{mm}$ and side $c = 466.73\, \text{mm}$. | 2 |
| 6082 | Find the side $ c $ of a trapezoid if long base $a = 1524\, \text{mm}$, short base $b = 1487.49\, \text{mm}$ and height $h = 466.73\, \text{mm}$. | 2 |
| 6083 | Find the short base $ b $ of a trapezoid if long base $a = 18\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 81.254^o$. | 2 |
| 6084 | Find the long base $ a $ of a trapezoid if long base $a = 47.87\, \text{mm}$, height $h = 4.2\, \text{mm}$ and angle $\alpha = 30^o$. | 2 |
| 6085 | Find the long base $ a $ of a trapezoid if long base $a = 0.36\, \text{in}$, short base $b = 0.27\, \text{in}$ and height $h = 0.1\, \text{in}$. | 2 |
| 6086 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, height $h = 1\, \text{mm}$, angle $\alpha = 32^o$ and angle $\beta = 150^o$. | 2 |
| 6087 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, height $h = 1\, \text{mm}$, angle $\alpha = 31^o$ and angle $\beta = 150^o$. | 2 |
| 6088 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 2\, \text{mm}$. | 2 |
| 6089 | Find the perimeter $ P $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 3\, \text{mm}$ and height $h = 2\, \text{mm}$. | 2 |
| 6090 | Find the angle $ \alpha $ of a trapezoid if long base $a = 1600\, \text{mm}$, short base $b = 800\, \text{mm}$ and height $h = 750\, \text{mm}$. | 2 |
| 6091 | Find the angle $ \beta $ of a trapezoid if long base $a = 1600\, \text{mm}$, short base $b = 800\, \text{mm}$ and height $h = 750\, \text{mm}$. | 2 |
| 6092 | Find the long base $ a $ of a trapezoid if short base $b = 2\, \text{ft}$ and height $h = 5\, \text{ft}$. | 2 |
| 6093 | Find the long base $ a $ of a trapezoid if short base $b = 2\, \text{ft}$, side $c = 2.2361\, \text{ft}$ and height $h = 5\, \text{ft}$. | 2 |
| 6094 | Find the long base $ a $ of a trapezoid if long base $a = 420\, \text{in}$, short base $b = 240\, \text{mm}$, side $c = 292\, \text{mm}$ and height $h = 292\, \text{mm}$. | 2 |
| 6095 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 150^o$. | 2 |
| 6096 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 30^o$. | 2 |
| 6097 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\beta = 30^o$. | 2 |
| 6098 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\beta = 165^o$. | 2 |
| 6099 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\beta = 60^o$. | 2 |
| 6100 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 60^o$. | 2 |
