Question

the breath of a rectangle is 4/9 of its length if the perimeter is 100m find its dimensions​

Answer 1

Answer :

➥ The dimensions of a rectangle = 34.62 m and 15.38 m

Given :

➤ Breath of a rectangle = 4/9 m

➤ Perimeter of a rectangle = 100 m

To Find :

➤ Dimensions of a rectangle = ?

Solution :

Let ,

The length of a rectangle be x m and the breadth be 4x/9.

As we know that

$\tt{: \implies Perimeter = 2(l + b)}$

$\tt{: \implies 100 = 2 \left(x + \dfrac{4x}{9} \right)}$

$\tt{: \implies \dfrac{ \cancel{100}}{ \cancel{2}} = \dfrac{x + 4x}{9} }$

$\tt{: \implies 50 = \dfrac{9x + 4x}{9} }$

$\tt{: \implies 13x = 450}$

$\tt{: \implies x = \cancel{\dfrac{450}{13}}}$

$\bf{: \implies \underline{ \: \: \underline{ \green{ \: \: x = 34.62 \: m \: \: }} \: \: }}$

So ,

$\tt{:\implies Length = x = 34.62 m}$

$\bf{: \implies \underline{ \: \: \underline{ \purple{ \: \: Length = 34.62 \: m \: \: }} \: \: }}$

$\tt{:\implies Breadth = \dfrac{4x}{9}}$

$\tt{:\implies Breadth = \dfrac{4 \times 34.62}{9} }$

$\tt{:\implies Breadth = \cancel{\dfrac{138.48}{9}} }$

$\bf{: \implies \underline{ \: \: \underline{ \purple{ \: \: Breadth = 15.38 \: m \: \: }} \: \: }}$

Hence, the dimensions of a rectangle is 34.62 m and 15.38 m.

Answer 2

Question:-

The breadth of a rectangle is 4/9 of its length if the perimeter is 100m find its dimensions

Formula Used:-

Perimeter = 2(Length + Breadth)

Answer:-

Let the length of the rectangle be x metres

Then the breadth will be 4x/9 metres

Given: Perimeter = 100m

=> 2(Length + Breadth) = 100

=> 2(x + 4x/9) = 100

=> x + 4x/9 = 100/2 = 50

=> (9x + 4x)/9 = 50

=> 13x = 450

=> x = 450/13

=> x = 34.62 m

So, Length = x metres = 34.62 m

Breadth = 4x/9 metres = (4 * 34.62)/9 m = 15.39 m

Ans. Length = 34.62 m and Breadth = 15.39 m