Question

THE LENGTH OF A RECTANGULAR GARDEN IS 6m MORE THAN TRICE ITS BREADTH.IF ITS PERIMETER IS 100m , FIND THE DIMENSIONS OF THE GARDEN.

Answer 1

Answer:-

Let the breadth of the garden be x m.

Given:

Length of the garden is 6 more than thrice the breadth.

→ Length = (3x + 6) m.

And also given that,

Perimeter of the garden = 100 m

We know that,

Perimeter of a rectangle = 2( Length + breadth)

→ 2(Length + breadth) = 100

→ 2(3x + 6 + x) = 100

→ 2(4x + 6) = 100

→ 8x + 12 = 100

→ 8x = 100 - 12

→ 8x = 88

→ x = 88/8

→ x = 11

→ Breadth of the garden (x) = 11 m

→ Length of the garden (3x + 6) = 3(11) + 6 = 39 m.

Hence, the dimensions of the garden are 39 m and 11 m.

Answer 2

✬ Length = 39 m ✬

✬ Breadth = 11 m ✬

Step-by-step explanation:

Given:

• Length of a rectangular garden is 6m more than thrice the breadth.
• Perimeter of the rectangular garden is 100m.

To Find:

• What are the dimensions of the garden?

Solution: Let the breadth of rectangular garden be x m. Therefore,

➟ Length of garden = 6 more than thrice breadth.

➟ Length = (3x + 6) m

As we know that,

★ Perimeter of Rectangle = 2 ( Length + Breadth ) ★

A/q

• Perimeter = 100 m

$\implies{\rm }$ 100 = 2 ( Length + Breadth )

$\implies{\rm }$ 100 = 2 ( 3x + 6 + x )

$\implies{\rm }$ 100 = 2 ( 4x + 6 )

$\implies{\rm }$ 100 = 8x + 12

$\implies{\rm }$ 100 – 88 = 8x

$\implies{\rm }$ 88 = 8x

$\implies{\rm }$ 88/8 = x

$\implies{\rm }$ 11 m = x

So,

➯ Breadth of garden = x = 11 m

➯ Length of garden = 3 $\times$ 11 + 6

➯ 33 + 6 = 39 m

___________________________

★ Verification ★

➨ 100 = 2 ( Length + Breadth )

➨ 100 = 2 ( 39 + 11 )

➨ 100 = 2(50)

➨ 100 = 100

[ Verified ]