Answer:
Perimeter of the rectangle \[=2\times (l\times b)\] \[\Rightarrow \] \[130=2\times (l+30)\] \[\Rightarrow \] \[l+30=\frac{130}{2}\] \[\Rightarrow \] \[l+30=65\] \[\Rightarrow \] \[l=65-30=3\text{5 cm}\] Hence, the length of the rectangle is 35 cm. Area of the rectangle \[=l\times b\] \[=\text{35}\times \text{3}0=\text{1}0\text{5}0\text{ c}{{\text{m}}^{\text{2}}}\] Hence, the area of the rectangle is \[\text{1}0\text{5}0\text{ c}{{\text{m}}^{\text{2}}}\].
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