Question

the length of a rectangular playground is thrice its.if the perimeter of the playground iams 56,meters,find its dimension

Answer 1

let the breath of rectangular playground be x

ATQbthe lenght of the rectangular playground be 3x

perimeter of the field =-2 (l×b)

56 = 2 (3x+x )

56 =2×4x

56=8x

x = 7 m

breath is 7m

length= 3x=3×7

=21 m

Answer 2

Given :

• The length of a rectangular playground is thrice its breadth.
• The perimeter of the playground iams 56 meters.

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, 3x.

It is Given that,

The perimeter of the playground is 56,meters.

As We know that,

Perimeter of the rectangle = 2(length + breadth)

Substituting the values in the above formula, we get,

56 = 2(3x + x)

56 = 2 × 4x

56 = 8x

x = 56/8

x = 7

Therefore, We got the value of, x = 7.

Hence,

The breadth of the rectangular playground, x = 7 m.

Then, the length of the rectangular playground, 3x = 3 × 7 = 21 m.