Question

Jorge's new yard is the shape of a trapezoid. One of the parallel sides is 25 feet long. The other parallel side is 18 feet long. There is 16 feet between the two parallel sides. Sketch a diagram of Jorge's new yard. How many square feet of sod will Jorge need for his new yard? *

Answer 1

$\orange{\underline{\underline{\bf{\bigstar \: Diagram }}}}$

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$\setlength{\unitlength}{1.6mm}\begin{picture}(5,6)\put(0,0){\line(1,1){7}}\put(40,0){\line(-1,1){7}}\put(0,0){\line(1,0){40}}\end{picture}\put(2,7){\line(1,0){26}}\put(5,0){\line(0,1){7}}\put(5,3){16 feet}\put(13,-2){25 feet}\put(12,8){18 feet}$

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$\green{\underline{\underline{\bf{\bigstar \: Solution }}}}$

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$\tt{\red{ Area\: of\: trapezoid = \dfrac{1}{2} \times (sum\: of\: parallel\: side) \times height }}$

$\tt{\red{\implies Area\: of\: trapezoid = \dfrac{1}{2} \times (25feet + 18feet) \times 16feet }}$

$\tt{\red{\implies Area\: of\: trapezoid = \dfrac{1}{2} \times 43feet \times 16feet }}$

$\tt{\red{\implies Area\: of\: trapezoid = \dfrac{1}{2} \times {688feet}^{2} }}$

$\tt{\red{\implies Area\: of\: trapezoid = \dfrac{{688feet}^{2}}{2} }}$

$\tt{\red{\implies Area\: of\: trapezoid = \cancel{\dfrac{{688feet}^{2}}{2}} }}$

$\tt{\red{\implies Area\: of\: trapezoid = {344feet}^{2} }}$

$\\ \\ \:\:$

$\blue{\underline{\bf{ {344feet}^{2} \:of\: sod\: will\: Jorge\: need\: for \:his\: new\: yard }}}$