Trapezoid

(the database of solved problems)

All the problems and solutions shown below were generated using the Trapezoid Calculator.

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ID	Problem	Count
5451	Find the height $ h $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = 10\, \text{in}$ and angle $\alpha = 70^o$.	2
5452	Find the height $ h $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 30\, \text{in}$.	2
5453	Find the perimeter $ P $ of a trapezoid if long base $a = \frac{ 3 }{ 4 }\, \text{in}$, short base $b = 1\, \text{in}$, side $c = \frac{ 7 }{ 8 }\, \text{in}$ and diagonal $d = 1.5\, \text{in}$.	2
5454	Find the angle $ \beta $ of a trapezoid if long base $a = 6\, \text{in}$, short base $b = 2.758\, \text{in}$ and height $h = 13.5\, \text{in}$.	2
5455	Find the long base $ a $ of a trapezoid if long base $a = 210\, \text{ft}$, short base $b = 150\, \text{ft}$, side $c = 140\, \text{ft}$ and diagonal $d = 140\, \text{ft}$.	2
5456	Find the long base $ a $ of a trapezoid if long base $a = 210\, \text{ft}$, short base $b = 150\, \text{ft}$ and side $c = 140\, \text{ft}$.	2
5457	Find the area $ A $ of a trapezoid if long base $a = 210\, \text{ft}$, short base $b = 150\, \text{ft}$ and side $c = 140\, \text{ft}$.	2
5458	Find the diagonal $ d $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 52\, \text{in}$ and height $h = 26\, \text{in}$.	2
5459	Find the angle $ \beta $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 52\, \text{in}$ and height $h = 26\, \text{in}$.	2
5460	Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{ft}$ and side $c = 8\, \text{ft}$.	2
5461	Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mm}$, short base $b = 7\, \text{mm}$ and side $c = 9\, \text{mm}$.	2
5462	Find the area $ A $ of a trapezoid if long base $a = 9\, \text{mm}$, short base $b = 7\, \text{mm}$ and side $c = 9\, \text{mm}$.	2
5463	Find the area $ A $ of a trapezoid if long base $a = 9\, \text{m}$, short base $b = 7\, \text{m}$ and side $c = 9\, \text{m}$.	2
5464	Find the long base $ a $ of a trapezoid if short base $b = 40\, \text{cm}$, height $h = 55\, \text{cm}$ and angle $\alpha = 55^o$.	2
5465	Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$.	2
5466	Find the long base $ a $ of a trapezoid if long base $a = 5.5\, \text{in}$, height $h = 3.75\, \text{in}$ and angle $\alpha = 60^o$.	2
5467	Find the long base $ a $ of a trapezoid if side $c = 5\, \text{mm}$ and diagonal $d = \sqrt{ 75 }\, \text{mm}$.	2
5468	Find the area $ A $ of a trapezoid if long base $a = 200\, \text{ft}$, short base $b = 197.3\, \text{ft}$ and side $c = 125\, \text{ft}$.	2
5469	Find the long base $ a $ of a trapezoid if angle $\beta = 138^o$.	2
5470	Find the long base $ a $ of a trapezoid if side $c = 36\, \text{mm}$ and angle $\beta = 138^o$.	2
5471	Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{cm}$, height $h = 12\, \text{cm}$ and area $A = 64\, \text{cm}^2$.	2
5472	Find the height $ h $ of a trapezoid if long base $a = 3\, \text{mm}$, short base $b = 2\, \text{mm}$ and side $c = 1\, \text{mm}$.	2
5473	Find the long base $ a $ of a trapezoid if long base $a = 3095\, \text{mm}$, short base $b = 1400\, \text{mm}$ and side $c = 1470\, \text{mm}$.	2
5474	Find the short base $ b $ of a trapezoid if long base $a = 160\, \text{mm}$, side $c = 100\, \text{mm}$ and median $m = 160\, \text{mm}$.	2
5475	Find the side $ c $ of a trapezoid if long base $a = 54\, \text{mm}$, short base $b = 32\, \text{mm}$ and height $h = 34\, \text{mm}$.	2
5476	Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{ft}$, side $c = 2.36\, \text{ft}$ and height $h = 2\, \text{ft}$.	2
5477	Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{ft}$, short base $b = 14\, \text{ft}$ and side $c = 27\, \text{ft}$.	2
5478	Find the long base $ a $ of a trapezoid if long base $a = 156.25\, \text{mm}$, short base $b = 26.5\, \text{mm}$ and height $h = 96.5\, \text{mm}$.	2
5479	Find the angle $ \alpha $ of a trapezoid if long base $a = 96\, \text{in}$, short base $b = 48\, \text{in}$ and height $h = 72\, \text{in}$.	2
5480	Find the angle $ \beta $ of a trapezoid if long base $a = 96\, \text{in}$, short base $b = 48\, \text{in}$ and height $h = 72\, \text{in}$.	2
5481	Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$.	2
5482	Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{ft}$, short base $b = 16.3\, \text{ft}$ and side $c = 4\, \text{ft}$.	2
5483	Find the angle $ \alpha $ of a trapezoid if long base $a = 18\, \text{ft}$, short base $b = 16.3\, \text{ft}$ and side $c = 4\, \text{ft}$.	2
5484	Find the angle $ \alpha $ of a trapezoid if long base $a = 2.5\, \text{mm}$, height $h = 4.6\, \text{mm}$ and angle $\alpha = 80^o$.	2
5485	Find the short base $ b $ of a trapezoid if long base $a = 2.5\, \text{mm}$, height $h = 4.6\, \text{mm}$ and angle $\alpha = 86^o$.	2
5486	Find the short base $ b $ of a trapezoid if long base $a = 31\, \text{m}$, height $h = 17.5\, \text{m}$ and angle $\alpha = 78.7^o$.	2
5487	Find the angle $ \alpha $ of a trapezoid if long base $a = 76.25\, \text{in}$, short base $b = 18.75\, \text{in}$, side $c = 80.125\, \text{in}$ and height $h = 57.25\, \text{in}$.	2
5488	Find the long base $ a $ of a trapezoid if long base $a = 1200\, \text{mm}$, side $c = 1150\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$.	2
5489	Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 15\, \text{in}$.	2
5490	Find the side $ c $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and side $c = 15\, \text{in}$.	2
5491	Find the side $ c $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 15\, \text{in}$.	2
5492	Find the side $ c $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 10\, \text{in}$.	2
5493	Find the short base $ b $ of a trapezoid if long base $a = 163\, \text{in}$, height $h = 24\, \text{in}$ and angle $\beta = 45^o$.	2
5494	Find the long base $ a $ of a trapezoid if height $h = 5\, \text{mm}$ and median $m = 14\, \text{mm}$.	2
5495	Find the perimeter $ P $ of a trapezoid if long base $a = 163\, \text{in}$, short base $b = 115.5\, \text{in}$ and height $h = 12\, \text{in}$.	2
5496	Find the side $ c $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 6\, \text{mm}$, side $c = 15\, \text{mm}$ and height $h = 12\, \text{mm}$.	2
5497	Find the side $ c $ of a trapezoid if long base $a = 2400\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$.	2
5498	Find the short base $ b $ of a trapezoid if long base $a = 6.75\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 83^o$.	2
5499	Find the side $ c $ of a trapezoid if long base $a = 500\, \text{mm}$, side $c = 800\, \text{mm}$, height $h = 800\, \text{mm}$ and angle $\alpha = 90^o$.	2
5500	Find the side $ c $ of a trapezoid if long base $a = 500\, \text{mm}$, short base $b = 200\, \text{mm}$, side $c = 800\, \text{mm}$ and angle $\alpha = 90^o$.	2