Question

If the area of rectangle is 24 cm sq and its perimeter is 22 cm then what are the sides in meters?

Answer 1

Dear student,


$$\begin{gathered} Giventhat:- \\ Areaofrec\tan gle=24c{m}^2 \\ \Rightarrow lb=24---\left(1\right) \\ Areaofrec\tan gle=22cm \\ \Rightarrow 2\left(l+b\right)=22cm \\ \Rightarrow l+b=11cm \\ \Rightarrow l=11-b---\left(2\right) \\ from\left(1\right)and\left(2\right) \\ \left(11-b\right)\times b=24 \\ \Rightarrow 11b-b^2=24 \\ \Rightarrow b^2-11b+24=0 \\ \Rightarrow b^2-8b-3b+24=0 \\ \Rightarrow b\left(b-8\right)-3\left(b-8\right)=0 \\ \Rightarrow \left(b-3\right)\left(b-8\right)=0 \\ \Rightarrow b=3,b=8 \\ thus,b=3cm=\frac{3}{100}=0.03m \\ andl=8cm=\frac{8}{100}=0.08m \end{gathered}$$
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