Math, asked by rawatpushpa639, 11 months ago

a rectangular is formed by 100cm wire. find out the maximum area of the rectangle.​

Answers

Answered by malikmohaman
28

length of wire is 100 cm

length of wire = perimeter of rectangle

100 = 2(l + b) \\ l + b =  \frac{100}{2}  \\ l + b = 50

we have to find maximum area . So, let

l = b .

Then,

l + b = 50 \\ l + l = 50 \\ 2l = 50 \\ l = \frac{50}{2}  \\ l = 25 \\ l = b = 25 \: cm

Area of ∆

 = l \times b \\ =  25 \times 25 \\  = 625 \:  { cm}^{2}

Maximum area of is 625 cm² .

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Answered by vermaarjunsingh7bsdp
8

Answer:

length of a wire=100cm

perimeter of rectangle=2(L+B)

  • 100cm=2(L+B)
  • 100cm/2=L+B
  • L+B=50cm

NOW,

  • L=B

when we take L=B the values are same.

  • L+L=50cm
  • 2L=50cm
  • L=50cm/2
  • L=25cm
  • B=25cm

NOW, Area of a rectangle=L×B

  • 25cm×25cm
  • 625cm^2

So,area of a rectangle=625cm^2

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