Question

The length of a rectangle is three times its width and its perimeter is 32 m. Find the length of the rectangle.

pls tell me fast and show the solution .

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Answer 1

Given -

• Length of rectangle is three times it's width.

• Perimeter of rectangle = 32 cm

To find -

• Length of the rectangle.

Solution -

Perimeter of rectangle = 2(l + b)

Where,

l = Length

b = Breadth

Let the width be x and length be 3x

On substituting the values -

Perimeter of rectangle = 2(l + b)

32 = 2(3x + x)

32 = 8x

x = 32/8

x = 4

Since length = 3x

so,

Length = 3(4)

Length = 12 cm

Verification -

Perimeter of rectangle = 2(l + b)

32 = 2(4 + 12)

32 = 2 × 16

32 = 32

$\therefore$ Length of rectangle is 12cm and width of rectangle is 4cm

______________________________________

Answer 2

Answer:

$\huge{\mathbb\red{Question}}$

The length of a rectangle is three times its width and its perimeter is 32 m. Find the length of the rectangle.

$\huge{\mathbb\pink{to \: find}}$

⭐ ✨Length of the rectangle.

$\huge{\mathbb\blue{Answer}}$

✨ l = Length

✨ b = Breadth

Perimeter of rectangle is = 2x(l+b)

Let the breadth be x and the length 3x

✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨

Perimeter of rectangle = 2x(l+b)

= 32 = 2 x (3x + x )

= 32 = 8x

= x = 32/8

= x = 4

$\huge{\mathbb\green{Length=3x}}$

length = 3x(4)

= 12 cm

$\huge{\mathbb\purple{Verification✓}}$

Perimeter of rectangle = 2x(l+b)

= 32 = 2x(4+12)

= 32 = 2 x 16

= 32 = 32.

✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨

✨ Length = 12 cm

✨ Breadth = 4 cm

Step-by-step explanation:

i hope it helps :)