Question

Find the value of y if:

a rectangle’s length is (y+3) cm, its breadth is (y+5) cm, and its perimeter is 40 cm.

Answer 1

Given :-

⇒ Rectangle's length = (y + 3)

⇒ Rectangle's breadth = (y + 5)

To Find :-

∴ The value of y if the perimeter is 40.

We know,

2 (L + B) = Perimeter

= 2 (y + 3 + y + 5) = 40

= 2 (2y + 8) = 40

= 4y + 16 = 40

= 4y = 40 - 16

= 4y = 24

= y = 24/4

= y = 6 cm

Answer 2

Given :

A rectangle’s length is (y + 3) cm.

Breadth of the rectangle is (y + 5) cm.

Perimeter of the rectangle is 40 cm.

To find :

• The value of x =?

Step-by-step explanation:

Perimeter of the rectangle = 40 cm. [Given]

As We know that :

Perimeter of the rectangle = 2(length + breadth)

Substituting the values in the above formula, we get,

➮ 40 = 2( y + 3 + y + 5)

➮ 40 = 2( 2y + 8)

➮ 40 = 4y + 16

➮ 4y = 40 - 16

➮ 4y = 24

➮ y = 24/4

➮ y = 6cm

Therefore, We get the value of, y = 6cm.

Verification :

Perimeter of the rectangle = 40 cm. [Given]

Length of the rectangle = y + 3 cm.

Breadth of the rectangle = y + 5 cm

As We know that,

Perimeter of the rectangle = 2(length + breadth)

Substituting the value of y = 6  in the above formula, we get,

➮ 40 = 2( y + 3 + y + 5)

➮ 40 = 2(6 +3 + 6 + 5)

➮ 40 = 2 (20)

➮ 40 = 240

LHS = RHS.

Hence, it is verified.