Question

The ratio of two sides of a parallelogram is 3:5,and its perimeter is 48cm . find the sides of the parallelogram​

Answer 1

All sides of parallelogram are equal.

let four sides be 3x, 5x, x, x.

perimeter=48cm(sum of all sides)

3x+5x+x+x=48

10x=48

x=4.8

sides are:

4.8cm,4.8cm,14.4cm(3×4.8),24cm(5×4.8)

please mark it brainliest

Answer 2

$\large\underline\pink{Given:-}$

• The ratio of two sides of a parallelogram is 3 : 5.
• it's perimeter is 48 cm.

$\large\underline\pink{To find:-}$

• Fine the measures of the sides of the parallelogram ....?

$\large\underline\pink{Solutions:-}$

• Let the 1st sides of parallelogram be 3x cm
• Let the 2nd sides of parallelogram be 5x cm

perimeter of parallelogram = 2(l + b)

$\: \: \: \: \: \leadsto \: \: {2} \: \: {({3x} \: + \: {5x})} \: \: = \: \: {48}$

$\: \: \: \: \: \leadsto \: \: {2} \: {(8x)} \: \: = \: \: {48}$

$\: \: \: \: \: \leadsto \: \: {16x} \: \: = \: \: {48}$

$\: \: \: \: \: \leadsto \: \: {x} \: \: = \: \: \cancel{\frac{48}{16}}$

$\: \: \: \: \: \leadsto \: \: {x} \: \: = \: \: {3} \: cm.$

Length = 5x

⟹ 5 × 3

⟹ 15cm

Breadth = 3x

⟹ 3 × 3

⟹ 9 cm

Hence, the side of the parallelogram are 15cm, 9cm, 15cm and 9cm.

$\large\underline\pink{More \: \: Information:-}$

• Area of parallelogram = base × height
• perimeter = 2 (l + b)

where,

• l = length
• b = breadth
• a = area
• p = perimeter