Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 4901 | Find the long base $ a $ of a trapezoid if height $h = 222\, \text{mm}$, angle $\alpha = 21.8^o$ and angle $\beta = 158.2^o$. | 2 |
| 4902 | Find the long base $ a $ of a trapezoid if height $h = 222.7\, \text{mm}$, angle $\alpha = 21.8^o$ and angle $\beta = 158.2^o$. | 2 |
| 4903 | Find the side $ c $ of a trapezoid if long base $a = 1660\, \text{mm}$, short base $b = 1520\, \text{mm}$ and diagonal $d = 2360\, \text{mm}$. | 2 |
| 4904 | Find the short base $ b $ of a trapezoid if long base $a = 309\, \text{mm}$ and height $h = 70\, \text{mm}$. | 2 |
| 4905 | Find the short base $ b $ of a trapezoid if long base $a = 309\, \text{mm}$, height $h = 70\, \text{mm}$ and area $A = 60\, \text{mm}^2$. | 2 |
| 4906 | Find the short base $ b $ of a trapezoid if long base $a = 230\, \text{mm}$, short base $b = 192.5\, \text{mm}$ and height $h = 134.5\, \text{mm}$. | 2 |
| 4907 | Find the diagonal $ d $ of a trapezoid if long base $a = 21\, \text{mm}$, short base $b = 15\, \text{mm}$ and median $m = 18\, \text{mm}$. | 2 |
| 4908 | Find the perimeter $ P $ of a trapezoid if long base $a = 21\, \text{cm}$, short base $b = 15\, \text{cm}$ and median $m = 18\, \text{cm}$. | 2 |
| 4909 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{ft}$, short base $b = 24\, \text{ft}$ and side $c = 16\, \text{ft}$. | 2 |
| 4910 | Find the long base $ a $ of a trapezoid if long base $a = 816\, \text{mm}$, angle $\alpha = 31.82^o$ and angle $\beta = 148.18^o$. | 2 |
| 4911 | Find the side $ c $ of a trapezoid if long base $a = 25.5\, \text{in}$, short base $b = 28.5\, \text{in}$ and height $h = 25\, \text{mm}$. | 2 |
| 4912 | Find the long base $ a $ of a trapezoid if long base $a = 54.5\, \text{in}$ and angle $\alpha = 75^o$. | 2 |
| 4913 | Find the long base $ a $ of a trapezoid if long base $a = 54.5\, \text{in}$, height $h = 48\, \text{in}$ and angle $\alpha = 75^o$. | 2 |
| 4914 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 1\, \text{mm}$ and height $h = 3\, \text{mm}$. | 2 |
| 4915 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = 18\, \text{in}$ and height $h = 83\, \text{in}$. | 2 |
| 4916 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{mm}$, short base $b = 0.5\, \text{mm}$, side $c = 0.5\, \text{mm}$, height $h = 0.5\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 4917 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{mm}$, short base $b = 0.5\, \text{mm}$, side $c = 0.5\, \text{mm}$, height $h = 0.5\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4918 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{ft}$, side $c = 3.5\, \text{ft}$ and diagonal $d = 3.5\, \text{ft}$. | 2 |
| 4919 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{ft}$, side $c = 3.5\, \text{ft}$ and height $h = 0.5\, \text{ft}$. | 2 |
| 4920 | Find the long base $ a $ of a trapezoid if long base $a = 35\, \text{ft}$, side $c = 3.5\, \text{ft}$ and height $h = 0.5\, \text{ft}$. | 2 |
| 4921 | Find the short base $ b $ of a trapezoid if long base $a = 35\, \text{ft}$, side $c = 3.5\, \text{ft}$ and height $h = 0.5\, \text{ft}$. | 2 |
| 4922 | Find the long base $ a $ of a trapezoid if short base $b = 4.252\, \text{in}$, height $h = 2.375\, \text{in}$ and angle $\beta = 105^o$. | 2 |
| 4923 | Find the short base $ b $ of a trapezoid if long base $a = 4.252\, \text{in}$, height $h = 2.375\, \text{in}$ and angle $\alpha = 75^o$. | 2 |
| 4924 | Find the short base $ b $ of a trapezoid if long base $a = 4.252\, \text{in}$ and height $h = 2.375\, \text{in}$. | 2 |
| 4925 | Find the short base $ b $ of a trapezoid if long base $a = 4.252\, \text{in}$, height $h = 2.375\, \text{in}$ and angle $\alpha = 105^o$. | 2 |
| 4926 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$ and height $h = 7\, \text{mm}$. | 2 |
| 4927 | Find the long base $ a $ of a trapezoid if long base $a = 347.4\, \text{mm}$, short base $b = 270\, \text{mm}$ and side $c = 360\, \text{mm}$. | 2 |
| 4928 | Find the long base $ a $ of a trapezoid if short base $b = 16\, \text{mm}$ and side $c = 49\, \text{mm}$. | 2 |
| 4929 | Find the long base $ a $ of a trapezoid if long base $a = 45\, \text{ft}$, short base $b = 38\, \text{mm}$, side $c = 34\, \text{mm}$ and diagonal $d = 58\, \text{mm}$. | 2 |
| 4930 | Find the angle $ \alpha $ of a trapezoid if long base $a = 65\, \text{mm}$, short base $b = 55\, \text{mm}$ and height $h = 36\, \text{mm}$. | 2 |
| 4931 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$, height $h = 16\, \text{mm}$, angle $\alpha = 40^o$ and angle $\beta = 140^o$. | 2 |
| 4932 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{mm}$, height $h = 16\, \text{mm}$, angle $\alpha = 40^o$ and angle $\beta = 140^o$. | 2 |
| 4933 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{mm}$, angle $\alpha = 40^o$ and angle $\beta = 140^o$. | 2 |
| 4934 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{mm}$, height $h = 16\, \text{mm}$, angle $\alpha = 40^o$ and angle $\beta = 140^o$. | 2 |
| 4935 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{mm}$, side $c = 24.8916\, \text{mm}$, height $h = 16\, \text{mm}$ and angle $\alpha = 40^o$. | 2 |
| 4936 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{mm}$, side $c = 24.8916\, \text{mm}$ and height $h = 16\, \text{mm}$. | 2 |
| 4937 | Find the long base $ a $ of a trapezoid if short base $b = 40.375\, \text{in}$, side $c = 6.5\, \text{in}$ and height $h = 5.25\, \text{in}$. | 2 |
| 4938 | Find the short base $ b $ of a trapezoid if long base $a = 55.25\, \text{in}$, side $c = 6.5\, \text{in}$ and height $h = 5.25\, \text{in}$. | 2 |
| 4939 | Find the long base $ a $ of a trapezoid if short base $b = 440\, \text{mm}$, side $c = 520\, \text{mm}$ and diagonal $d = 670\, \text{mm}$. | 2 |
| 4940 | Find the height $ h $ of a trapezoid if long base $a = 540\, \text{mm}$, short base $b = 440\, \text{mm}$ and diagonal $d = 670\, \text{mm}$. | 2 |
| 4941 | Find the angle $ \alpha $ of a trapezoid if long base $a = 7000\, \text{mm}$, short base $b = 3000\, \text{mm}$ and height $h = 5400\, \text{mm}$. | 2 |
| 4942 | Find the side $ c $ of a trapezoid if long base $a = 7000\, \text{mm}$, short base $b = 3000\, \text{mm}$ and height $h = 5400\, \text{mm}$. | 2 |
| 4943 | 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 |
| 4944 | 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 |
| 4945 | Find the short base $ b $ of a trapezoid if long base $a = 22.875\, \text{in}$ and median $m = 22.5\, \text{in}$. | 2 |
| 4946 | Find the side $ c $ of a trapezoid if long base $a = 32.75\, \text{in}$ and short base $b = 20\, \text{in}$. | 2 |
| 4947 | 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 |
| 4948 | 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 |
| 4949 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 2\, \text{mm}$, side $c = 3\, \text{mm}$ and height $h = 2\, \text{mm}$. | 2 |
| 4950 | Find the long base $ a $ of a trapezoid if long base $a = 74\, \text{cm}$, short base $b = 56\, \text{cm}$ and side $c = 24\, \text{cm}$. | 2 |
