Question

10. The ratio of the lengths of two sides of a parallelogram is 3 : 5, and its
perimeter is 48 cm. Find the lengths of the four sides of the parallelogram.
motor is 450 m. If one​

Answer 1

Answer:-

The sides of the Parallelogram are

$\purple{\bigstar}$ 9 cm

$\purple{\bigstar}$ 15 cm

• Given:-

The ratio of the lengths of two sides of the parallelogram = 3 : 5

Perimeter = 48 cm

• To Find:-

Length of the four sides of the parallelogram = ?

• Solution:-

Let the two sides in the ratio be 3x and 5x.

We know,

Perimeter of a Parallelogram = 2 [l + b]

Hence,

→ 48 = 2 [3x + 5x]

→ 48 = 6x + 10 x

→ 48 = 16x

→ $x = \dfrac{48}{16}$

→ x = 3

• Substituting the value of x in the ratio :-

We have,

$3x = 3 \times 3$

→ 9 cm

$5x = 5 \times 3$

→ 15 cm

Therefore, the sides of the Parallelogram are 9 cm and 15 cm

$\red{\bigstar}$ More about Parallelogram:-

• A Parallelogram is a simple quadrilateral with 2 pairs of parallel sides.

• Formula:-

Area = b × h

Perimeter = 2 [l + b]

• Edges and vertices = 4

Answer 2

Step-by-step explanation:

GIVEN:

THE RATIO OF TWO SIDES OF PARALLELOGRAM IS

3:5

PERIMETER = 48 CM

TO FIND:

LENGTH OF ALL FOUR SIDES OF THE PARALLELOGRAM.

FORMULA TO BE USED:

2(L+B)=PERIMETER

WHERE,

L= LENGTH

B=BREADTH.

SOLUTION:

LET LENGTH OF THE PARALLELOGRAM BE 3X.

LET BREADTH OF THE PARALLELOGRAM BE 5X.

ATQ,

PERIMETER =2(L+B)

=>48 CM=2(3X+5X)

=>48 CM=2×8X=16X

=>X=48/16=3

LENGTH =3X=3×3=9CM

BREADTH =5X=5×3=15 CM

ACCORDING TO THE PROPERTY OF PARALLELOGRAM

OPPOSITE SIDES ARE PARALLEL AND EQUAL TO EACH OTHER.

SO LENGTH OF ALL FOUR PARALLEL SIDES ARE:

3CM ,3CM AND 15 CM ,15 CM.