Question-:
The perimeter of a rectangle is 230 cm and length of a rectangle is 70 cm. Find area and breadth of the rectangle.
Explanation -:
In this question we are given that the perimeter of a rectangle is 230 cm and the length of the rectangle is 70 cm. We are asked to calculate the area and breadth of a rectangle.
![\small{ \underline{\frak{ First \: we \: will \: calculate \: the \: breadth}}}](https://img.qammunity.org/2021/formulas/mathematics/high-school/7o2imuq0y1us9eqry1ncb5j86j4s342kjw.png)
Let us assume the breadth as b.
We know,
Perimeter = 2(L + B)
→ 230 = 2(70 + b)
→ 230/2 = 70 + b
→ 115 = 70 + b
→ 115 - 70 = b
→ 45 = b
breadth = 45 cm
![\small \underline{\frak{ Now \: we \: will \: calculate \: the \: area }}](https://img.qammunity.org/2021/formulas/mathematics/high-school/vqh2h6n1j69y9338hliavnz234q07hyony.png)
Area = L × B
→ Area = (70 × 45) cm²
Area = 3150 cm²
- Hence the breadth and area are 45 and 3150 respectively.
![\rule{71mm}{4pt}](https://img.qammunity.org/2021/formulas/mathematics/high-school/qjififqdj7mb1ncwj1cjex5ki9kh8owz1b.png)