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]