Question

a square and rectangle have equal area. if a side of a square is 24 centimeter and the length of the rectangel is 32 centimeter, find the perimeter of the rectangle

Answer 1

Dear Student,


$$\begin{gathered} areaofsquare=side\times side \\ =24\times 24 \\ =576c{m}^2 \\ areaofrec\tan gle=length\times breadth \\ =32\times breadth \\ \sin ceareaofsquare=areaofrec\tan gle \\ 32\times breadth=576 \\ breadth=\frac{576}{32} \\ breadth=18 \\ perimeterofrec\tan gle=2\times \left(length+breadth\right) \\ =2\times \left(18+32\right) \\ =2\times 40 \\ =80 \end{gathered}$$
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