Question

12. A rectangular field is such that its length is
half times its breadth. A thick white line is drawn all
along the edges of the field. If the total length of the
white line is 200 m, find the length of the sides of the field



please show with steps and i will mark u as a brainliest answer✨✨​

Answer 1

Answer

Length of the given rectangular field = 33.33m

breadth of the given rectangular field = 66.67 m

Step-by-step explanation:

Given :

• Length is half times it's breadth.

• length = Perimeter = 200m

To Find :

Length of the sides of the field.

Procedure :

Lets assume the breadth to be b

As it's said that "length is half its breadth" so , length should be = 0.5 × b

We know ,

${ \sf{Perimeter}} = 2(length + breath)$

$\implies {\: 200 }= 2 \green(0.5b + \red( b \red) \green)$

$\implies 200 = 1b + 2b$

$\implies \: 200 = 3b$

$\implies \: 200b = 3b$

$\implies \: b \: = 66.67$

As assumed earlier ,

Breadth = 66.67

Length = 0.5 × 66.67

Length = 33.33m

What you need to know ?

• Perimeter of a rectangle is twice length + breadth.

Answer 2

Step-by-step explanation:

Assume that the breadth of the rectangle is x.

Perimeter of rectangle = 2(l + b)

Length = 1/2 of breadth

→ l = 1/2b

As per given condition,

→ 200 = 2(1/2b + b)

→ 200 = 2(3b/2)

→ 200 = 3b

→ b = 66.67

So,

→ l = 66.67/2

→ l = 33.33

Hence, the length and breadth of the rectangle are 66.67 and 33.33 m.

Verification

Perimeter of rectangle = 2(l + b)

200 = 2(66.67 + 33.33)

200 = 2(100)

200 = 200