Question

The length of a rectangle is three times its width and its perimeter is 96 m. Then find the length of
rectangle is

Answer 1

Step-by-step explanation:

LET LENGTH BE 3x

WIDTH x

perimeter 96 m

this means

that

2 ×(l+b) =96

so

2 ×(3x+x) =96

2×(4x) =96

4x=96÷2

4x=48

x=48÷4

x=12

SO WIDTH= 12

LENGTH=12 ×3 i.e 36

Answer 2

☆ Solution ☆

Given :-

• The length of a rectangle is three times its width.

• The perimeter of the rectangle = 96 m

To Find :-

• The length of the rectangle.

Step-by-Step-Explaination :-

Let,

• The width of the rectangle be x

Then,

• The length of the rectangle = 3x

Now,

As we know that :-

Perimeter of the rectangle = 2 ( length + width )

Where,

• Perimeter of the rectangle = 96 m

• The length of the rectangle = 3x

• The width of the rectangle be x

Putting the respective value,

96 = 2 ( 3x + x )

96 = 2 ( 4x )

4x = 96/2

4x = 48

x = 48/4

x = 12

Thus,

• The length of the rectangle = 3x = 3 × 12 = 36 m

• The width of the rectangle = x = 12 m

Hence,

The length of the rectangle is 36 m.