Question

3. Two sides of a parallelogram are in the ratio 4:3. If its perimeter is 56 cm, find the lengths
of its sides​

Answer 1

1. take 2sides of parallelogram as 4x,3x
2. in parallogram opp. sides are equal so, 2 sides are 4x and other 2 sides are 3 x
3. now perimeter of parallelogram is 56cm
4. sum of all sides is called as perimeter so,
5. 4x+4x+3x+3x=56 cm
6. 14x=56 cm
7. x=4cm
8. 2 sides of parallelogram is 4x =4×4 =16cm
9. other 2 sides of parallogram is3x=3×4=12cm

Answer 2

Answer :-

The measure of the two sides of the parallelogram is 16cm and 12cm.

Step-by-step explanation :-

To Find,

• The measure of both the sides of parallelogram

Solution,

Given that,

• The ratio of the two sides of the parallelogram is 4 : 3
• Perimeter of the parallelogram is 56cm

Therefore,

Let us assume the two sides of the parallelogram as 4x and 3x,

As we know that,

Perimeter = 2 ( l + b )

Where,

• l = Length
• b = Breadth

Therefore,

➮ 2 ( l + b ) = Perimeter

➮ 2 ( 4x + 3x ) = 56

➮ 2 × 7x = 56

➮ 14x = 56

➮ x = 56 / 14

➮ x = 4 ★

∴ Hence, the value of x is 4.

∴ The measure of the two sides are,

The side which we assumed as 4x,

➮ 4x

➮ 4 × 4

➮ 16cm ★

The side which we assumed as 3x,

➮ 3x

➮ 3 × 4

➮ 12cm ★

∴ The measure of the two sides are, 16cm and 12cm.