Question

the area of a quadrilateral is ( 9x²+12x+4).what kind of quadrilateral is it ?

Answer 1

Dear student
$$\begin{gathered} \mathrm{Area}\mathrm{of}\mathrm{quadrilateral}=9{\mathrm{x}}^2+12\mathrm{x}+4 \\ =9{\mathrm{x}}^2+6\mathrm{x}+6\mathrm{x}+4 \\ =3\mathrm{x}\left(3\mathrm{x}+2\right)+2\left(3\mathrm{x}+2\right) \\ =(3\mathrm{x}+2)(3\mathrm{x}+2) \\ ={\left(3\mathrm{x}+2\right)}^2 \\ \mathrm{Since}\mathrm{Length}\mathrm{and}\mathrm{breadth}\mathrm{are}\mathrm{equal}.\mathrm{So},\mathrm{It}\mathrm{is}\mathrm{a}\mathrm{square}. \end{gathered}$$
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