Math, asked by sunnysandeepss1, 3 months ago

perimetre of rectangle is 60 CM length and breadth are X + 4 cm and 3 x minus 2 cm respectively find the value of x​

Answers

Answered by MrMonarque
5

Question:

Perimetre of rectangle is 60cm. The sides Length and breadth are (x+4)cm and (3x-2)cm respectively. Then,Find the value of 'x'.

Analysis:

Rectangle: A Quadrilateral in which two pairs of opposite sides are equal and one of the angle is equals to 90° is called a Rectangle.

✯ Area of Rectangle = Length×Breadth

✯ Perimeter of Rectangle = 2(Length+Breadth)

  • Number of vertices: 4
  • Number of edges: 4
  • Internal angle: 90°

☞ Every Square is a Rectangle, but all Rectangles are not Squares.

______________________

Solution:

Given,

Perimeter of Rectangle = 60cm

Length = (x+4)cm

Breadth = (3x-2)cm

\boxed{\sf{Perimeter\:of\; Rectangle = 2(l+b)}}

→\;{\sf{2(x+4+3x-2) = 60}}

→\;{\sf{4x+2 = \frac{60}{2}}}

→\;{\sf{4x = 30-2}}

→\;{\sf{x = \frac{28}{4}}}

→\;{\bf{x = 7cm}}

AnSweR:

Value of 'x' is ◕➜ \Large{\red{\bf{7cm}}}

Hope It Helps You ✌️

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