Question

. The length and breadth of a rectangle are in the ratio 4 : 3. If its perimeter is 154 cm, find

itsarea.​

Answer 1

Answer:

The Length is 44 cm and Breadth is 33 cm.

Step-by-step explanation:

Given :

Ratio = 4 : 3

Perimeter = 154 cm

To find :

Length and Breadth

Solution :

Let the -

Length = 4y

Breadth = 3y

★

$\boxed{\tt{Perimeter=2(Length+Breadth)}}$

Perimeter=2(Length+Breadth)

\implies⟹ 154 = 2(4y + 3y)

\implies⟹ 154 = 8y + 6y

\implies⟹ 154 = 14y

\implies⟹ y = 154/14

\implies⟹ y = 11

\rule{300}{1.5}

★ Length -

\implies⟹ 4(11)

\implies⟹ 44 cm

\rule{300}{1.5}

★ Breadth -

\implies⟹ 3(11)

\implies⟹ 33 cm

\therefore∴ The Length is 44 cm and Breadth is 33 cm.

Answer 2

Answer:

Step-by-step explanation:

Let the length of the rectangle be 4x cm and that of breadth = 3x cm

Perimeter = 2(l + b) = 2(4x + 3x) = 2 × 7x = 14x cm

14x = 154

x = 11

Length = 4 × 11 = 44 cm

and breadth = 3 × 11 = 33 cm