Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 4751 | Find the short base $ b $ of a trapezoid if long base $a = 161\, \text{mm}$, short base $b = 78\, \text{mm}$, height $h = 100\, \text{mm}$ and angle $\alpha = 157^o$. | 2 |
| 4752 | Find the diagonal $ d $ of a trapezoid if long base $a = 161\, \text{mm}$, height $h = 100\, \text{mm}$ and angle $\alpha = 22^o$. | 2 |
| 4753 | Find the long base $ a $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 90\, \text{mm}$ and height $h = 100\, \text{mm}$. | 2 |
| 4754 | Find the long base $ a $ of a trapezoid if short base $b = 37\, \text{cm}$, height $h = 20\, \text{cm}$ and angle $\beta = 135^o$. | 2 |
| 4755 | Find the long base $ a $ of a trapezoid if short base $b = 77\, \text{cm}$, height $h = 20\, \text{cm}$ and angle $\beta = 135^o$. | 2 |
| 4756 | Find the long base $ a $ of a trapezoid if short base $b = 117\, \text{cm}$, height $h = 20\, \text{cm}$ and angle $\beta = 135^o$. | 2 |
| 4757 | Find the long base $ a $ of a trapezoid if short base $b = 157\, \text{cm}$, height $h = 20\, \text{cm}$ and angle $\beta = 135^o$. | 2 |
| 4758 | Find the angle $ \alpha $ of a trapezoid if long base $a = 16\, \text{cm}$, short base $b = 6\, \text{cm}$, side $c = 14\, \text{cm}$ and diagonal $d = 12\, \text{cm}$. | 2 |
| 4759 | Find the perimeter $ P $ of a trapezoid if long base $a = 5.3\, \text{m}$, short base $b = 2.5\, \text{m}$ and height $h = 0.35\, \text{m}$. | 2 |
| 4760 | Find the perimeter $ P $ of a trapezoid if long base $a = 5.38\, \text{m}$, short base $b = 2.5\, \text{m}$ and height $h = 0.35\, \text{m}$. | 2 |
| 4761 | Find the side $ c $ of a trapezoid if side $c = 8.245\, \text{in}$, height $h = 8\, \text{in}$, angle $\alpha = 76^o$ and angle $\beta = 114^o$. | 2 |
| 4762 | Find the long base $ a $ of a trapezoid if height $h = 8\, \text{in}$, angle $\alpha = 76^o$ and angle $\beta = 114^o$. | 2 |
| 4763 | Find the long base $ a $ of a trapezoid if long base $a = 4.05\, \text{mm}$, height $h = 0.65\, \text{mm}$ and area $A = 2.37\, \text{cm}^2$. | 2 |
| 4764 | Find the short base $ b $ of a trapezoid if long base $a = 4.05\, \text{mm}$, height $h = 0.65\, \text{mm}$ and area $A = 2.37\, \text{cm}^2$. | 2 |
| 4765 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 8\, \text{ft}$, height $h = 12\, \text{ft}$ and area $A = 180\, \text{ft}^2$. | 2 |
| 4766 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{cm}$, short base $b = 8\, \text{cm}$ and height $h = 9\, \text{cm}$. | 2 |
| 4767 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{in}$, side $c = 42\, \text{in}$ and height $h = 42\, \text{in}$. | 2 |
| 4768 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 3\, \text{mm}$. | 2 |
| 4769 | Find the angle $ \alpha $ of a trapezoid if long base $a = 37\, \text{in}$, short base $b = 15\, \text{in}$ and height $h = 8\, \text{in}$. | 2 |
| 4770 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 12\, \text{in}$ and side $c = 25.5\, \text{in}$. | 2 |
| 4771 | Find the diagonal $ d $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 12\, \text{in}$ and side $c = 25.5\, \text{in}$. | 2 |
| 4772 | Find the long base $ a $ of a trapezoid if long base $a = 55\, \text{ft}$, short base $b = 10\, \text{ft}$, side $c = 64\, \text{ft}$ and height $h = 60\, \text{ft}$. | 2 |
| 4773 | Find the long base $ a $ of a trapezoid if long base $a = 2.5\, \text{mm}$ and short base $b = 1.8\, \text{mm}$. | 2 |
| 4774 | Find the long base $ a $ of a trapezoid if long base $a = 2.5\, \text{mm}$, short base $b = 1.8\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 4775 | Find the side $ c $ of a trapezoid if long base $a = 2.5\, \text{mm}$, short base $b = 1.8\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 4776 | Find the long base $ a $ of a trapezoid if side $c = 76\, \text{mm}$. | 2 |
| 4777 | Find the long base $ a $ of a trapezoid if long base $a = 120\, \text{cm}$, side $c = 79\, \text{mm}$ and height $h = 79\, \text{cm}$. | 2 |
| 4778 | Find the short base $ b $ of a trapezoid if long base $a = 120\, \text{cm}$, side $c = 79\, \text{mm}$ and height $h = 79\, \text{cm}$. | 2 |
| 4779 | Find the long base $ a $ of a trapezoid if long base $a = 74.46\, \text{ft}$, short base $b = 20.54\, \text{ft}$, side $c = 38.04\, \text{ft}$, perimeter $P = 171.17\, \text{ft}$ and angle $\beta = 135^o$. | 2 |
| 4780 | Find the long base $ a $ of a trapezoid if long base $a = 74.46\, \text{ft}$, short base $b = 20.54\, \text{ft}$ and perimeter $P = 171.17\, \text{ft}$. | 2 |
| 4781 | Find the height $ h $ of a trapezoid if long base $a = 74.46\, \text{ft}$, short base $b = 20.54\, \text{ft}$ and side $c = 38.04\, \text{ft}$. | 2 |
| 4782 | Find the long base $ a $ of a trapezoid if long base $a = 94\, \text{in}$, side $c = 4.35\, \text{in}$ and height $h = 3\, \text{in}$. | 2 |
| 4783 | Find the short base $ b $ of a trapezoid if long base $a = 94\, \text{in}$, side $c = 4.35\, \text{in}$ and height $h = 3\, \text{in}$. | 2 |
| 4784 | Find the long base $ a $ of a trapezoid if long base $a = 2.25\, \text{mm}$, short base $b = 1.25\, \text{mm}$ and height $h = 1\, \text{mm}$. | 2 |
| 4785 | Find the angle $ \beta $ of a trapezoid if long base $a = 2.25\, \text{mm}$, short base $b = 1.25\, \text{mm}$ and height $h = 1\, \text{mm}$. | 2 |
| 4786 | Find the short base $ b $ of a trapezoid if long base $a = 1265\, \text{mm}$, height $h = 1420\, \text{mm}$ and angle $\alpha = 89.13^o$. | 2 |
| 4787 | Find the short base $ b $ of a trapezoid if long base $a = 1265\, \text{mm}$, height $h = 1480\, \text{mm}$ and angle $\alpha = 89.13^o$. | 2 |
| 4788 | Find the short base $ b $ of a trapezoid if long base $a = 10.25\, \text{in}$ and side $c = 7\, \text{in}$. | 2 |
| 4789 | Find the short base $ b $ of a trapezoid if long base $a = 10.25\, \text{in}$, side $c = 7\, \text{in}$ and height $h = 3.5\, \text{in}$. | 2 |
| 4790 | Find the long base $ a $ of a trapezoid if long base $a = 155\, \text{mm}$, short base $b = 90\, \text{mm}$ and height $h = 110\, \text{mm}$. | 2 |
| 4791 | Find the side $ c $ of a trapezoid if short base $b = 8\, \text{in}$, height $h = 14\, \text{in}$, angle $\alpha = 22.5^o$ and angle $\beta = 67.5^o$. | 2 |
| 4792 | Find the long base $ a $ of a trapezoid if side $c = 16\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 120^o$. | 2 |
| 4793 | Find the long base $ a $ of a trapezoid if long base $a = 18.5\, \text{mm}$, short base $b = 15\, \text{mm}$ and diagonal $d = 17\, \text{mm}$. | 2 |
| 4794 | Find the angle $ \alpha $ of a trapezoid if long base $a = 18.5\, \text{mm}$, short base $b = 15\, \text{mm}$ and diagonal $d = 17\, \text{mm}$. | 2 |
| 4795 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 14\, \text{mm}$ and height $h = 36\, \text{mm}$. | 2 |
| 4796 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 14\, \text{mm}$ and side $c = 42.7\, \text{mm}$. | 2 |
| 4797 | Find the height $ h $ of a trapezoid if long base $a = 60\, \text{mm}$, short base $b = 14\, \text{mm}$ and height $h = 24\, \text{mm}$. | 2 |
| 4798 | Find the height $ h $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 14\, \text{mm}$ and side $c = 33.25\, \text{mm}$. | 2 |
| 4799 | Find the angle $ \alpha $ of a trapezoid if long base $a = 143.75\, \text{in}$, short base $b = 96\, \text{in}$ and height $h = 138\, \text{in}$. | 2 |
| 4800 | Find the height $ h $ of a trapezoid if long base $a = 1200\, \text{mm}$, short base $b = 600\, \text{mm}$ and side $c = 600\, \text{mm}$. | 2 |
