Question

solve the following:
1. the perimeter of a rectangular playground is 280 meter and its length is 2 meters more than twice its breadth.Find the length and breadth of the playground.​

Answer 1

Answer:

Length=94m Breadth=46m

Step-by-step explanation

Breadth=X

Length=2X+2

So,

2[2X+2+X}=280

2[3X+2]=280

6X+4=280

6X=280-4

6X=276

X=276 divided by 6

X=46

Length=2X+2=2 into 46+2=94M

Breadth=46M

Answer 2

Given :

• The perimeter of a rectangular playground is 280 meter.
• It's length is 2 meters more than twice its breadth.

To find :

• Dimensions of the rectangular playground =?

Formula Used :

• Perimeter of the rectangle = 2(length + breadth)

Step-by-step explanation :

Let, the breadth of the rectangular playground be, x.

Then, the length of the rectangular playground be, 2x.

It is Given that,

It's length is 2 meters more than twice its breadth.

So, Length = 2x + 2

As We know that,

Perimeter of the rectangle = 2(length + breadth)

Substituting the values in the above formula, we get,

280 = 2[x + (2x + 2)]

280 = 2[3x + 2]

280 = 6x + 4

6x = 280 - 4

6x = 276

x = 276/6

x = 46.

Therefore, We got the value of, x = 46.

Hence,

Breadth of the rectangular field, x = 46 cm.

Length of the rectangular field, 2x + 2 = 94 cm