question_answer 4)

The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also find the area.

Answer:

                Perimeter of the rectangular sheet \[=2\times (l+b)\]                 \[\Rightarrow \]               \[100=2\times (35+b)\]                 \[\Rightarrow \]               \[35+b=\frac{100}{2}\]                 \[\Rightarrow \]               \[35+b=50\]                 \[\Rightarrow \]               \[b=50-35=1\text{5 cm}\] Hence, the breadth of the rectangular sheet is 15 cm \[\therefore \]  Area of the rectangular sheet  \[=l\times b\]                  \[=35\times 15=52\text{5 c}{{\text{m}}^{\text{2}}}\]