Respuesta :
Answer:
Breadth=45 cm and Area = 3150
Step-by-step explanation:
Length= 70 cm and breadth =?
Perimeter=2(l+b)
or,230=2(70+b)
or,230=140+2b
or,230-140=2b
or,90/2=b
or,b=45cm
Breadth=45cm and Length=70cm
Area=l×b
=70×45
=3150cm^2
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.
[tex] \small{ \underline{\frak{ First \: we \: will \: calculate \: the \: breadth}}}[/tex]
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
[tex] \small \underline{\frak{ Now \: we \: will \: calculate \: the \: area }}[/tex]
Area = L × B
→ Area = (70 × 45) cm²
Area = 3150 cm²
- Hence the breadth and area are 45 and 3150 respectively.
[tex] \rule{71mm}{4pt}[/tex]