Question

the length and breadth of a rectangle are 40 cm and 10 cm respectively. find the perimeter of a square of area equal to that of the rectangle.

Answer 1

Dear student,

$$\begin{gathered} Giventhat: \\ Lengthofrec\tan gle=40cm \\ breadthofrec\tan gle=10cm \\ andAreaofrec\tan gle=Areaofsquare \\ \Rightarrow l\times b={\left(side\right)}^2 \\ \Rightarrow 40\times 10={\left(side\right)}^2 \\ \Rightarrow {\left(side\right)}^2=400 \\ \Rightarrow side=20cm \\ Now,perimeterofsquare=4\times side \\ \Rightarrow perimeterofsquare=4\times 20cm \\ \Rightarrow perimeterofsquare=80cm \\ Thustheperimeterofsquareis80cm \end{gathered}$$
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