Question

The length and width of a rectangle is in the ratio 3 : 5. If its perimeter is 48 cm, find its length and width.

Answer 1

Answer:

Let length & breadth be 3x and 5x

⇒ Perimeter = 2(l + b)

⇒ 48 = 2(3x + 5x)

⇒ 48 = 2 × 8x

⇒ x = 3

• Length = 3x = 3(3) = 9 cm

• Breadth = 5x = 5(3) = 15 cm

Answer 2

$\bf{\underline{\underline \blue{Solution:-}}}$

$\sf\underline{\red{\:\:\: AnswEr:-\:\:\:}}$

• The length of the rectangle = 9 Cm
• The breadth of the rectangle = 15 Cm

$\sf\underline{\red{\:\:\: Given:-\:\:\:}}$

• The length and width of a rectangle is in the ratio 3 : 5. If its perimeter is 48 cm.

$\sf\underline{\red{\:\:\: Need\:To\: Find:-\:\:\:}}$

• The length of the rectangle = ?
• The breadth of the rectangle = ?

$\bf{\underline{\underline \blue{Explanation:-}}}$

Let the length of a rectangle be 3y

And, the breadth of a rectangle be 5y

$\sf\underline{\red{\:\:\: Formula\:Used\: Here:-\:\:\:}}$

$\bigstar \: \boxed{ \sf \: Perimeter\:of\:a\: rectangle = 2 \times (length + breadth)}$

$\sf\underline{\green{\:\:\: Now,Putting\:the\: values:-\:\:\:}}$

$\dashrightarrow \sf {48 = 2(3y + 5y)}$

$\dashrightarrow \sf {48 = 2 \times 8y}$

$\dashrightarrow \sf { y = 3}$

$\sf\underline{\green{\:\:\: ThereFore:-\:\:\:}}$

The length of the rectangle = 3y

The length of the rectangle = 3 × 3

The length of the rectangle = 9 cm

$\sf\underline{\red{\:\:\: And:-\:\:\:}}$

The breadth of the rectangle = 5y

The breadth of the rectangle = 5 × 3

The breadth of the rectangle = 15 cm

$\rule{200}{2}$