document.write( "Question 966918: a land 4 sides are 30,30,30,19.5 feets thn it's area is? \n" ); document.write( "
Algebra.Com's Answer #590940 by Theo(13342)![]() ![]() You can put this solution on YOUR website! my best guess is the land is in the shape of a trapezoid. \n" ); document.write( "the formula for the area of a trapezoid is 1/2 * (b1 + b2) * h. \n" ); document.write( "b1 and b2 are the parallel bases. \n" ); document.write( "h is the height.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "do the bases have to be parallel to each other? \n" ); document.write( "it doesn't state.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the bases are parallel to each other, then the formula above will calculate the area. \n" ); document.write( "if they are not, then i'm not sure how you would calculate the area except by using calculus or trigonometry or something like that since i don't believe there's a formula to calculate the area of an irregular shape that has the length of sides that you mention.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "more information is needed. \n" ); document.write( "are two of the sides parallel to each other?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if so, which sides are parallel to each other (could be two 30 foot sides or could be one 30 and one 19.5 side)?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if not, then more information is needed such as the angles at the corners of the piece of land.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assuming the land is in the shape of a trapezoid and assuming that the sides that are opposite to each other are the 30 foot and the 19.5 foot side, then the formula would be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "area = 1/2 * (19.5 + 30) * h\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you would need to find h. \n" ); document.write( "the trapezoid would have to be an isosceles trapezoid. \n" ); document.write( "the height would be equal to 29.5370 feet. \n" ); document.write( "the area would be eual to 731.04075 square feet. \n" ); document.write( "round that to 2 decimal places and the area is 731.04 square feet.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the worksheet i used is shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to find h, you need to drop perpendiculars from A and B to E and F. \n" ); document.write( "this created right triangles. \n" ); document.write( "you then used the left right triangle to find the value of h through the use of trigonometry. \n" ); document.write( "the rest of the worksheet should be self explanatory.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() |