Question

if the area of a rectangle is 32 sq.units,what possible dimensions can the rectangle have?find the perimeter of all the rectangles.

Answer 1

Dear student
$$\begin{gathered} \mathrm{Given}\mathrm{area}\mathrm{of}\mathrm{rectangle}=32\mathrm{sq}\mathrm{units} \\ \mathrm{i}.\mathrm{e}.,\mathrm{Length}\times \mathrm{Breadth}=32\mathrm{sq}\mathrm{units} \\ \mathrm{So},(1,32),\left(2,16\right),\left(4,8\right),\left(8,4\right),\left(16,2\right),(32,1)\mathrm{can}\mathrm{be}\mathrm{the}\mathrm{possible}\mathrm{dimensions}. \\ \mathrm{Perimeter}\mathrm{of}\mathrm{rectangle}\mathrm{having}\mathrm{length}1\mathrm{units}\mathrm{and}\mathrm{breadth}16\mathrm{units}=2\left(\mathrm{length}+\mathrm{breadth}\right)=2(1+32)=66\mathrm{units} \\ \mathrm{Similarly},\mathrm{find}\mathrm{perimeter}\mathrm{for}\mathrm{different}\mathrm{measurements}. \end{gathered}$$
Regards