Question

given lenght of a rectangle is 3 times its breadth . if the perimeter is 32 cm. find the lenght and breadth

Answer 1

Answer:

$length \: = \: 12 \: cm \\ bredth = 4 \: cm$

Step-by-step explanation:

$length \: of \: rectangle \: = \: 3x \\ breadth \: of \: rectangle \: = \: x \\ perimeter \: of \: rectangle = 32 \: cm \\ = > 2(l + b) = 32 \\ = > 2(3x + x) = 32 \\ = > 4x = \frac{32}{2} \\ = > x = \frac{16}{4} \\ = > x = 4 \\ length = 3x = 3 \times 4 = 12 \: cm \\ breadth = x = 4 \: cm$

HOPE IT HELPS!!!

Answer 2

Given:

• Lenght of a rectangle is 3 times its breadth .
• Perimeter 32 cm

To find:

• Find the length and breadth

Soluton:

• According to question,
• Lenght of a rectangle is 3 times its breadth
• So , let

$\sf \: breadth \: of \: rectangle = x \\ \sf \: lenth \: of \: rectangle = 3x$

• We know that,
• Perimeter of rectangle = 2(length+breadth)

$\sf\implies2(3x + x) = 32cm \\ \implies8x = 32cm \\ \implies \: x = \frac{32}{8} \\ x = 4$

$So \: The, \\ \sf \: Breadth \: = x = 4cm \\ \sf \: Length = 3x = 3(4) \\ = 12cm$

$\fbox \red{Hope \: it \: Helps \: uh!..}$