Question

4. The length and breadth of a rectangle are in ratio 7:5. Find its length and be
rectangle are in ratio 7:5. Find its length and breadth if its perimeter is 168m​

Answer 1

Answer:

The Length is 49 m and Breadth is 35 m.

Step-by-step explanation:

Given :

Ratio of the length to breadth = 7 : 5

Perimeter = 168 m

To find :

Its dimensions

Solution :

Let the -

• Length be 7y
• Breadth be 5y

★ Perimeter = 2(Length + Breadth)

⇒ 168 = 2(7y + 5y)

⇒ 168 = 14y + 10y

⇒ 168 = 24y

⇒ y = 168/24

⇒ y = 7

$\rule{300}{1.5}$

★ Value of 7y

⇒ 7(7)

⇒ 49

Length = 49 m

$\rule{300}{1.5}$

★ Value of 5y

⇒ 5(7)

⇒ 35

Breadth = 35 m

$\therefore$ The Length is 49 m and Breadth is 35 m.

Answer 2

Answer:

$\huge\bold\green{Length\:49\:m}$

$\huge\bold\green{Breadth\:35\:m}$

Step-by-step explanation:

$\huge\mathfrak\blue{Solution:-}$

As the ratio is 7:5,

Let the length be 7X m.

Let the breadth be 5X m.

According to question:-

2( 7X+ 5X) =168

or, 2 × 12X =168

or, 24X =168

or, X =168/24

So, X =7

Putting the value of X in the length's position,

Length = 7X m

or, Length = 7 × 7 m

So, Length =49 m

Putting the value of X in the breadth's position,

Breadth = 5X m

or, Breadth = 5 × 7 m

So, Breadth = 35 m

Therefore,length is 49 m and breadth is 35 m.

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