Question

The ratio of two sides of a parallelogram is 4:3. If its perimeter is 224 cm, find the

length of its four sides

​

Answer 1

solutions

Given : ( In parallelogram )

Perimeter is 224 and

Ratio of two sides is 4 :3

Let ,

Length of parallelogram is 4x and breath is 3x .

we know that ,

perimeter of parallelogram = 2 (length + breath)

224 CM = 2( 4x+3x )

224 CM = 2( 7x )

224 CM = 14x

X = 224 / 14 cm

X = 16 cm

Now,

4x = 16* 4 = 64 cm

3x = 16* 3 = 48 cm

let's check it :

224 cm = 2 (l + b)

224 CM = 2 (64 + 48 )

224 cm = 2 ( 112 )

224 cm = 224 cm

LHS = RHS

Answer 2

Answer :

›»› The four sides of a parallelogram are 64 cm, 48 cm, 64 cm, 48 cm respectively.

Step-by-step explanation :

Given :

• Two sides of a parallelogram = 4:3.

To Find :

• The length of it's four sides = ?

Formula required :

To find the length of it's two sides we use the formula of perimeter of parallelogram.

Formula of perimeter of parallelogram to calculate the length of it's two sides is given by,

→ Perimeter of parallelogram = 2(a + b).

Here,

• a and b is length of two sides.

Units,

• The unit of length of two sides is centimetre (cm).

Solution :

Let us assume that, the length of two sides of a parallelogram is 4x and 3x respectively.

We know that, if we are given with the length of two sides of a parallelogram then we have the required formula of perimeter of parallelogram to calculate the length of it's two sides, that is,

→ Perimeter of parallelogram = 2(a + b).

By using the formula of perimeter of parallelogram to calculate the length of it's two sides and substituting the given values in the formula, we get :

→ 224 = 2(4x + 3x)

→ 224 = {(2 * 4x) + (2 * 3x)}

→ 224 = {8x + (2 * 3x)}

→ 224 = 8x + 6x

→ 2224 = 14x

→ 14x = 224

→ x = 224/14

→ x = 16

Therefore,

The length of two sides of parallelogram will be,

• 4x = 4 * 16 = 64.
• 3x = 3 * 16 = 48.

We know that the opposite sides of parallelogram are equal.

Then,

• 64 = 64.
• 48 = 48.

Hence, the length of four sides of a parallelogram are 64 cm, 48 cm, 64 cm, 48 cm respectively.