Question

The length of a rectangle is 5cmmore than its breadth. If the perimeter of the rectangle is 98cm, find the length and breadth of the rectangle.

Answer 1

Question :

The length of a rectangle is 5cmmore than its breadth. If the perimeter of the rectangle is 98cm, find the length and breadth of the rectangle.

Answer :

$\sf\pink{Given:}$

• Length of rectangle is 5 cm more than breadth.

• Perimeter of rectangle is 98 cm.

$\sf\pink{To\:find:}$

• length of the rectangle ?

• Breadth of the rectangle ?

Explanation :

• let the breadth be "x" cm.

• therefore length is x + 5 cm.

$\sf\purple{Perimeter \:of \:rectangle = 2 ( l + b )}$

$\\ \longrightarrow\sf{ 98 = 2\times [ ( x + 5) + x ]}$

$\\ \longrightarrow\sf{ 98 = 2x + 10 + 2x}$

$\\ \longrightarrow\sf{ 98 = 4x + 10}$

$\\ \longrightarrow\sf{ 98 - 10 = 4x }$

$\\ \longrightarrow\sf{ 88 = 4x }$

$\\ \longrightarrow\sf{ x = \dfrac{88}{4}}$

$\\ \longrightarrow\sf{ x = 22}$

• breadth is "x"

$\\ \longrightarrow\sf{ x = 22}$

Therefore the breadth is 22 cm.

• length is x + 5

$\\ \longrightarrow\sf{ 22 + 5}$

$\\ \longrightarrow\sf{ 27}$

Therefore the length is 27 cm.

Answer 2

Answer:

the breadth is 22 and the length is 27

Step-by-step explanation:

Let the breadth be 'x'

Means the length will be x +5

The perimeter of a rectangle is '2×(l+b)' and the value of perimeter here is 98.

So,the equaqtion wil be:

P = 2 × ( l + b )

98 = 2 × ( 5 + x + x )

98 = 2 × ( 5 + 2x)

98 = 2× 5 + 2 × 2x

98 = 10 + 4x

98 - 10 = 4x

88 = 4x

88 ÷ 4 = x

x = 22

Now when x = 22 then

B = x = 22

& L = x + 5 = 22 + 5 = 27