Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 8001 | Find the height $ h $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 6\, \text{mm}$ and side $c = 6\, \text{mm}$. | 1 |
| 8002 | Find the area $ A $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 6\, \text{mm}$. | 1 |
| 8003 | Find the long base $ a $ of a trapezoid if long base $a = 40.9375\, \text{in}$, short base $b = 40\, \text{in}$ and side $c = 39.0625\, \text{in}$. | 1 |
| 8004 | Find the diagonal $ d $ of a trapezoid if long base $a = 40.9375\, \text{in}$, short base $b = 40\, \text{in}$ and side $c = 39.0625\, \text{in}$. | 1 |
| 8005 | Find the long base $ a $ of a trapezoid if long base $a = 520\, \text{cm}$, side $c = 320\, \text{cm}$ and height $h = 290\, \text{cm}$. | 1 |
| 8006 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 14\, \text{mm}$ and height $h = 4\, \text{mm}$. | 1 |
| 8007 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mm}$, short base $b = 6\, \text{mm}$ and area $A = 120\, \text{mm}^2$. | 1 |
| 8008 | Find the long base $ a $ of a trapezoid if side $c = 155\, \text{mm}$, height $h = 65\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8009 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{ft}$, short base $b = 4\, \text{ft}$ and height $h = 8\, \text{ft}$. | 1 |
| 8010 | Find the long base $ a $ of a trapezoid if long base $a = 10.5\, \text{in}$, height $h = 3\, \text{in}$ and area $A = 26.5\, \text{in}^2$. | 1 |
| 8011 | Find the long base $ a $ of a trapezoid if long base $a = 10.75\, \text{ft}$, short base $b = 21.5\, \text{ft}$ and side $c = 15.75\, \text{ft}$. | 1 |
| 8012 | Find the long base $ a $ of a trapezoid if short base $b = 10.75\, \text{ft}$, side $c = 15.75\, \text{ft}$ and diagonal $d = 21.5\, \text{ft}$. | 1 |
| 8013 | Find the side $ c $ of a trapezoid if long base $a = 15.75\, \text{ft}$, short base $b = 10.75\, \text{ft}$ and side $c = 15.75\, \text{ft}$. | 1 |
| 8014 | Find the long base $ a $ of a trapezoid if long base $a = 163.35\, \text{ft}$, short base $b = 116\, \text{ft}$ and side $c = 290\, \text{ft}$. | 1 |
| 8015 | Find the area $ A $ of a trapezoid if long base $a = 163.35\, \text{ft}$, short base $b = 116\, \text{ft}$ and side $c = 290\, \text{ft}$. | 1 |
| 8016 | Find the area $ A $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 6\, \text{in}$. | 1 |
| 8017 | Find the long base $ a $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 70\, \text{mm}$, height $h = 40\, \text{mm}$ and median $m = 85\, \text{mm}$. | 1 |
| 8018 | Find the side $ c $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 70\, \text{mm}$, height $h = 40\, \text{mm}$ and median $m = 85\, \text{mm}$. | 1 |
| 8019 | Find the side $ c $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 70\, \text{mm}$ and height $h = 40\, \text{mm}$. | 1 |
| 8020 | Find the angle $ \alpha $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 70\, \text{mm}$ and height $h = 40\, \text{mm}$. | 1 |
| 8021 | Find the angle $ \alpha $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 70\, \text{mm}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 1 |
| 8022 | Find the angle $ \alpha $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 70\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 8023 | Find the short base $ b $ of a trapezoid if long base $a = 100\, \text{mm}$, height $h = 40\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 8024 | Find the side $ c $ of a trapezoid if long base $a = 1000\, \text{mm}$, short base $b = 701\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 8025 | Find the side $ c $ of a trapezoid if long base $a = 1000\, \text{mm}$, height $h = 400\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 8026 | Find the short base $ b $ of a trapezoid if long base $a = 1000\, \text{mm}$, height $h = 400\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 8027 | Find the side $ c $ of a trapezoid if long base $a = 1000\, \text{mm}$, short base $b = 708\, \text{mm}$ and height $h = 400\, \text{mm}$. | 1 |
| 8028 | Find the side $ c $ of a trapezoid if long base $a = 354\, \text{mm}$, short base $b = 100\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 8029 | Find the side $ c $ of a trapezoid if long base $a = 354\, \text{mm}$, short base $b = 100\, \text{mm}$ and angle $\alpha = 110^o$. | 1 |
| 8030 | Find the long base $ a $ of a trapezoid if short base $b = 100\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 8031 | Find the long base $ a $ of a trapezoid if short base $b = 100\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 70^o$. | 1 |
| 8032 | Find the long base $ a $ of a trapezoid if long base $a = 354\, \text{mm}$, height $h = 10\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 8033 | Find the short base $ b $ of a trapezoid if long base $a = 354\, \text{mm}$, height $h = 10\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 8034 | Find the side $ c $ of a trapezoid if long base $a = 354\, \text{mm}$, height $h = 10\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 8035 | Find the diagonal $ d $ of a trapezoid if long base $a = 354\, \text{mm}$, height $h = 10\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 8036 | Find the long base $ a $ of a trapezoid if short base $b = 354\, \text{mm}$, height $h = 10\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 8037 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{mm}$, side $c = 2\, \text{mm}$ and diagonal $d = 4\, \text{mm}$. | 1 |
| 8038 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{cm}$, short base $b = 4\, \text{cm}$ and side $c = 16\, \text{cm}$. | 1 |
| 8039 | Find the long base $ a $ of a trapezoid if long base $a = 11.5\, \text{in}$, height $h = 1.5\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 8040 | Find the short base $ b $ of a trapezoid if long base $a = 80\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 90^o$. | 1 |
| 8041 | Find the short base $ b $ of a trapezoid if long base $a = 80\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 91^o$. | 1 |
| 8042 | Find the short base $ b $ of a trapezoid if long base $a = 160\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 110^o$. | 1 |
| 8043 | Find the short base $ b $ of a trapezoid if long base $a = 80\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 105^o$. | 1 |
| 8044 | Find the short base $ b $ of a trapezoid if long base $a = 160\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 105^o$. | 1 |
| 8045 | Find the short base $ b $ of a trapezoid if long base $a = 80\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 100^o$. | 1 |
| 8046 | Find the short base $ b $ of a trapezoid if long base $a = 160\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 100^o$. | 1 |
| 8047 | Find the long base $ a $ of a trapezoid if short base $b = 9.08\, \text{mm}$, side $c = 13.97\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 8048 | Find the long base $ a $ of a trapezoid if angle $\alpha = 45^o$. | 1 |
| 8049 | Find the long base $ a $ of a trapezoid if long base $a = 140\, \text{mm}$, short base $b = 60\, \text{mm}$ and height $h = 60\, \text{mm}$. | 1 |
| 8050 | Find the area $ A $ of a trapezoid if long base $a = 140\, \text{mm}$, short base $b = 60\, \text{mm}$ and height $h = 60\, \text{mm}$. | 1 |
