help me please the figure show a rectangle with length and breadth is a indicated find the perimeter of the rectangle .give fast answer
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Perimeter = The length of the boundary
= Sum of all sides
= (x + y + 2) + (2y) + (x + 2) + (2x + 1)
= 4x + 3y + 5 cm
Also, Opposite sides of a rectangle are equal, so
x + y + 2 = 2x + 1
or, x = y + 1
or, x - y = 1 ------ (1)
Also,
2y = x + 2
or, x - 2y = -2 ------(2)
Multiplying LHS and RHS of equation 1 with 2,
2x - 2y = 2 -------(3)
Subtracting equation 2 from 3,
x = 4cm
Putting X =4cm in equation 1,
4 - y = 1
or, y = 3
We have already obtained the expression for the perimeter above, now putting the values of x and y,
Perimeter =4x + 3y + 5 cm = 4(4) + 3(3) + 5 = 30cm
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