Question

Perimeter of a rectangle is 96m. It's length is 3 times its width. Find its length and breadth.

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Answer 1

Answer:

Step-by-step explanation:

Rectangle

Solve for length

l=P

2﹣w

w Width

Enter value

P Perimeter

Let the width of rectangle=x

Then length of the rectangle = 3x

Perimeter of the rectangle = 96cm

2(l+b) = 96m

X+3x = 48

x = 12cm

Breadth of rectangle = 12cm

Length of rectangle = 3×12=36cm

Answer 2

Answer:

Length is 36m

width is 12m

Given:

• Perimeter of the rectangle - 96m
• Length is 3 times its width.

To Find:

• Length of the rectangle
• Width of the rectangle.

Solution:

Let the length of the rectangle = a

Let the width of the rectangle = b

According to the question:

⟹ a = 3b ...( 1 )

Perimeter of the rectangle = 2( length + width )

⟹ 96 m = 2( a + b )

From ( 1 )

⟹ 96 m = 2( 3b + b )

⟹ 96 m = 2( 4b )

⟹ 96 m = 8b

⟹ 96 m / 8 = b

⟹ 12 m = b

Length = 3b = 3(12) = 36m

Width = b = 12m