Question

The length of a rectangular plot exceeds its breadth by 10 meters. If the

perimeter of the plot is 220 meters, find the dimensions of the plot.​

Answer 1

Answer :-

The dimensions of the plot:-

• Length = 60m
• Breadth = 50m

Step-by-step explanation:

To Find :-

• The dimensions of the rectangular plot

Solution:

Given that,

• The perimeter of the rectangular plot = 220m
• The length of a rectangular plot exceeds its breadth by 10m.

Assumption: Let us assume the breadth of plot as "(x) metres" and length of plot as "(x+10) metres"

As we know that,

Perimeter of rectangle = 2 ( length + breadth )

Therefore,

• 2 [ ( x + 10 ) + ( x ) ] = 220

=> 2 [ (x + 10) + (x) ] = 220

=> 2 ( x + 10 + x ) = 220

=> 2 ( 2x + 10 ) = 220

=> 2x + 10 = 220/2

=> 2x + 10 = 110

=> 2x = 110 - 10

=> 2x = 100

=> x = 100/2

=> x = 50

The value of x is 50. Now, length and breadth :-

Length :-

We assumed the length as (x+10) metres :-

=> ( x + 10 ) m

=> ( 50 + 10 ) m

=> 60m

Breadth :-

We assumed the breadth as (x) metes :-

=> ( x ) m

=> 50m

Hence, The dimensions of the plot:-

• Length = 60m
• Breadth = 50m

Answer 2

Given :-

• The length of a rectangular plot exceeds its breadth by 10 meters.
• The perimeter of the plot is 220 meters.

To Find :-

• Dimensions of the Plot.

Solution :-

⟾ Let the Breadth of the Plot be x m

⟾ Then the Length of the Plot be x + 10 m

❏ According to the Situation :

➞ Perimeter of Plot = 2( Length + Breadth )

➞ 220 = 2( x + 10 + x )

➞ 220 = 2( 2x + 10 )

➞ 220 / 2 = 2x + 10

➞ 110 = 2x + 10

➞ 110 - 10 = 2x

➞ 100 = 2x

➞ 100 / 2 = x

➞ 50m = x

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Therefore :-

• Breadth of Plot = x = 50m
• Length of Plot = x + 10 = 60m

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