Question

Find the perimeter of the figure given below:

Answer 1

Given:

Length = ( 5x - y )

Breadth = 2( x + y ) = 2x + 2y

To Find:

The perimeter of the given figure.

Formula:

Perimeter of a rectangle = 2( l + b )

Solution:

By putting the values of Length and Breadth, we get

2( 5x - y + 2x + 2y )

= 2( 7x + y )

= 14x + 2y

Answer:

Perimeter of the given figure is 14x + 2y

Answer 2

Solution :-

given that, in quadrilateral ABCD ,

→ AD = BC = (5x - y)

→ AB = DC = 2(x + y)

and, all angles of quadrilateral ABCD are equal to 90° .

Since opposite sides are equal in measure and each angle is equal to 90° . Therefore, we can conclude that, the given quadrilateral ABCD is a rectangle .

then,

→ Perimeter of rectangle ABCD = 2(Sum of adjacent sides)

→ Perimeter of rectangle ABCD = 2(Length + Breadth)

→ Perimeter of rectangle ABCD = 2(AD + AB)

putting values we get,

→ Required perimeter = 2[(5x - y) + 2(x + y)]

→ Required perimeter = 2[5x + 2x + 2y - y]

→ Required perimeter = 2(7x + y)

→ Required perimeter = (14x + 2y) (Ans.)

Hence, the perimeter of the figure given is equal to (14x + 2y) .

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