Question

The length of a rectangle plot is 4 times more than its breadth. If the perimeter of the plot is 160m. Find the length and breadth of the plot ?​

Answer 1

Step-by-step explanation:

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l=b+4

2(l+b)=160

2(b+4+b)=160

b+4+b=80

2b+4=80

2b=80-4

2b=76

b=38

l=38+4

=42

So, breadth is 38m and length is 42m.

Answer 2

Answer:

The length and breadth are 64m and 16 m respectively of the plot.

Step-by-step explanation:

We have given here that the length of the following rectangle is 4 times more times greater than the width or breadth of it. Let us take that the breadth of the following rectangle is m.

Therefore length = 4m

Now we have been specified that the perimeter is 160 meters.

Therefore we have,

Perimeter = 2 ×$(l + b )$

∴ Perimeter = 2 × $( 4m + m )$

∴ Perimeter = 2 × 5m

∴ Perimeter = 10 m

⇒ 160 = 10m

⇒ m = 160 ÷ 10

⇒ m = 16

Hence the breadth is 16 m and length = 4 × 16 = 64 m.