Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 5001 | Find the long base $ a $ of a trapezoid if long base $a = 45\, \text{in}$, short base $b = 20\, \text{in}$, height $h = 12\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 5002 | Find the long base $ a $ of a trapezoid if short base $b = 0.75\, \text{m}$, side $c = 0.75\, \text{m}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 2 |
| 5003 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{in}$, height $h = 36\, \text{in}$ and angle $\alpha = 90^o$. | 2 |
| 5004 | Find the long base $ a $ of a trapezoid if long base $a = 38\, \text{mm}$ and short base $b = 22\, \text{mm}$. | 2 |
| 5005 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{in}$, side $c = 30\, \text{mm}$, diagonal $d = 30\, \text{mm}$ and angle $\beta = 45^o$. | 2 |
| 5006 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{in}$, side $c = 30\, \text{in}$ and angle $\beta = 45^o$. | 2 |
| 5007 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{mm}$, side $c = 30\, \text{mm}$ and height $h = 21.213\, \text{mm}$. | 2 |
| 5008 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{mm}$, side $c = 30\, \text{mm}$ and height $h = 21\, \text{mm}$. | 2 |
| 5009 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 5010 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{mm}$, height $h = 120\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 5011 | Find the long base $ a $ of a trapezoid if height $h = 120\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 5012 | Find the long base $ a $ of a trapezoid if height $h = 4.3\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5013 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{ft}$, short base $b = 10\, \text{ft}$, side $c = 5\, \text{ft}$, height $h = 4.3\, \text{ft}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5014 | Find the angle $ \alpha $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 60\, \text{mm}$ and side $c = 48\, \text{in}$. | 2 |
| 5015 | Find the long base $ a $ of a trapezoid if angle $\alpha = 59^o$ and angle $\beta = 81^o$. | 2 |
| 5016 | Find the angle $ \beta $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 60\, \text{in}$ and side $c = 40\, \text{in}$. | 2 |
| 5017 | Find the angle $ \alpha $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 60\, \text{in}$ and side $c = 40\, \text{in}$. | 2 |
| 5018 | Find the long base $ a $ of a trapezoid if long base $a = 1915\, \text{mm}$, short base $b = 1630\, \text{mm}$ and height $h = 1655\, \text{mm}$. | 2 |
| 5019 | Find the side $ c $ of a trapezoid if long base $a = 15\, \text{ft}$, short base $b = 10\, \text{ft}$, side $c = 15\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5020 | Find the long base $ a $ of a trapezoid if long base $a = 25\, \text{ft}$, side $c = 8\, \text{ft}$ and height $h = 16\, \text{ft}$. | 2 |
| 5021 | Find the long base $ a $ of a trapezoid if long base $a = 10.5\, \text{in}$, height $h = 7\, \text{in}$ and area $A = 0.25\, \text{ft}^2$. | 2 |
| 5022 | Find the short base $ b $ of a trapezoid if long base $a = 144.25\, \text{in}$ and side $c = 96\, \text{in}$. | 2 |
| 5023 | Find the short base $ b $ of a trapezoid if long base $a = 144.25\, \text{in}$, side $c = 96\, \text{in}$ and height $h = 70\, \text{in}$. | 2 |
| 5024 | Find the height $ h $ of a trapezoid if long base $a = 144.25\, \text{in}$, side $c = 96\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 5025 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 9\, \text{in}$ and height $h = 6\, \text{in}$. | 2 |
| 5026 | Find the long base $ a $ of a trapezoid if long base $a = 1947\, \text{mm}$, short base $b = 1907\, \text{mm}$, height $h = 420\, \text{mm}$, angle $\alpha = 87^o$ and angle $\beta = 93^o$. | 2 |
| 5027 | Find the side $ c $ of a trapezoid if long base $a = 1947\, \text{mm}$, short base $b = 1907\, \text{mm}$, height $h = 420\, \text{mm}$, angle $\alpha = 87^o$ and angle $\beta = 93^o$. | 2 |
| 5028 | Find the long base $ a $ of a trapezoid if long base $a = 10.25\, \text{in}$, side $c = 7\, \text{in}$ and area $A = 36\, \text{in}^2$. | 2 |
| 5029 | Find the height $ h $ of a trapezoid if long base $a = 5\, \text{m}$, short base $b = 2.4\, \text{m}$ and side $c = 4\, \text{m}$. | 2 |
| 5030 | Find the height $ h $ of a trapezoid if long base $a = 5\, \text{m}$, short base $b = 2.4\, \text{m}$ and side $c = 8\, \text{m}$. | 2 |
| 5031 | Find the long base $ a $ of a trapezoid if long base $a = 31\, \text{mm}$, side $c = 18.75\, \text{mm}$ and angle $\alpha = 60.5^o$. | 2 |
| 5032 | Find the height $ h $ of a trapezoid if long base $a = 31\, \text{mm}$, side $c = 18.75\, \text{mm}$ and angle $\alpha = 60.5^o$. | 2 |
| 5033 | Find the long base $ a $ of a trapezoid if long base $a = 65\, \text{mm}$, short base $b = 46\, \text{mm}$ and side $c = 34\, \text{mm}$. | 2 |
| 5034 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{yd}$, short base $b = 13\, \text{yd}$, side $c = 12\, \text{yd}$ and height $h = 10\, \text{yd}$. | 2 |
| 5035 | Find the height $ h $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 12.25\, \text{in}$ and side $c = 14\, \text{in}$. | 2 |
| 5036 | Find the side $ c $ of a trapezoid if long base $a = 351\, \text{mm}$, short base $b = 300\, \text{mm}$ and diagonal $d = 351\, \text{mm}$. | 2 |
| 5037 | Find the long base $ a $ of a trapezoid if long base $a = 35\, \text{mm}$, short base $b = 21\, \text{mm}$, side $c = 21\, \text{mm}$, height $h = 19\, \text{mm}$ and area $A = 494\, \text{mm}^2$. | 2 |
| 5038 | Find the long base $ a $ of a trapezoid if long base $a = 29\, \text{ft}$, short base $b = 13\, \text{ft}$ and height $h = 10\, \text{ft}$. | 2 |
| 5039 | Find the side $ c $ of a trapezoid if long base $a = 29\, \text{ft}$, short base $b = 13\, \text{ft}$, side $c = 12.8\, \text{ft}$ and height $h = 10\, \text{ft}$. | 2 |
| 5040 | Find the long base $ a $ of a trapezoid if long base $a = 32\, \text{in}$, short base $b = 22\, \text{in}$ and side $c = 13\, \text{in}$. | 2 |
| 5041 | Find the perimeter $ P $ of a trapezoid if long base $a = 32\, \text{in}$, short base $b = 22\, \text{in}$ and side $c = 13\, \text{in}$. | 2 |
| 5042 | Find the area $ A $ of a trapezoid if long base $a = 32\, \text{in}$, short base $b = 22\, \text{in}$ and side $c = 13\, \text{in}$. | 2 |
| 5043 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{ft}$, height $h = 6\, \text{in}$ and angle $\alpha = 22.5^o$. | 2 |
| 5044 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{in}$, short base $b = 2\, \text{in}$ and height $h = 4\, \text{in}$. | 2 |
| 5045 | Find the diagonal $ d $ of a trapezoid if long base $a = 7000\, \text{mm}$, short base $b = 3000\, \text{mm}$ and height $h = 5400\, \text{mm}$. | 2 |
| 5046 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 227 }{ 8 }\, \text{in}$, height $h = 5.5\, \text{in}$ and median $m = \frac{ 221 }{ 2 }\, \text{in}$. | 2 |
| 5047 | Find the short base $ b $ of a trapezoid if long base $a = 22.875\, \text{in}$ and median $m = 22.5\, \text{in}$. | 2 |
| 5048 | Find the side $ c $ of a trapezoid if long base $a = 32.75\, \text{in}$ and short base $b = 20\, \text{in}$. | 2 |
| 5049 | Find the long base $ a $ of a trapezoid if long base $a = 32.25\, \text{mm}$, short base $b = 20\, \text{mm}$ and height $h = 15.75\, \text{mm}$. | 2 |
| 5050 | Find the side $ c $ of a trapezoid if long base $a = 32.25\, \text{in}$, short base $b = 20\, \text{in}$ and height $h = 15.75\, \text{in}$. | 2 |
