Question

8) The ratio between length and breadth of a rectangular plot is 4: 3 respectively and its

perimeter is 70m.what will be its area (in sq m)?​

Answer 1

To Find :-

• The area of a Rectangular plot.

Solution:

Given that,

• The length and breadth of a Rectangular plot are in the ratio of 4:3
• The perimeter = 70m

Assumption:

Let us assume the length and breadth of the plot as :-

• Length = 4x
• Breadth = 3x

∴ The measure length and breadth is :-

We know,

Perimeter of rectangle = 2 ( l + b ),

Where,

• l = Length
• b = Breadth

⇒ 2 ( l + b ) = Perimeter

⇒ 2 ( 4x + 3x ) = 70

⇒ 4x + 3x = 70/2

⇒ 4x + 3x = 35

⇒ 7x = 35

⇒ x = 35/7

⇒ x = 5

The value of x is 5. Now, length and breadth :-

• Length = 4x = 4*5 = 20m
• Breadth = 3x = 3*5 = 15m.

According the question,

• The area of the plot :-

We know,

Area of rectangle = l × b,

Where,

• l = Length
• b = Breadth

⇒ l × b

⇒ 20m × 15m

⇒ Area = 300m²

Required Answer :-

• The area of the rectangular plot is 300m².

Answer 2

Answer:

300m^2

Step-by-step explanation:

let the length be 4x and breadth be 3x.

perimeter of a rectangle = 2×(l+b)

So,

According to the question, 2(4x +3x)=70

=>14x=70

therefore, x= 70÷14 =5

So , the length is 4x i.e 4×5=20m

the breadth is 3x i.e 3×5=15 m

Known that, area of a rectangle = l×b

=20×15m²=300m²