Question

help me please the figure show a rectangle with length and breadth is a indicated find the perimeter of the rectangle .give fast answer​

Answer 1

Answer

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