Question

if one side of a parallelogram is 1.5cm more than its adjacent side and its perimeter is 9cm.then find both the sides.​

Answer 1

Answer:

Length = 1.8 cm

Breadth = 2.7 cm

Step-by-step explanation:

given that,

one side of a parallelogram is 1.5cm more than its adjacent side

let length of parallelogram be x

so,

breadth = 1.5 x

now ,

given perimeter = 9 cm

we know that,

perimeter of a parallelogram

= 2(length + breadth)

length = x

breadth = 1.5 x

putting the values,

2(x + 1.5x) = 9

2(2.5x) = 9

5x = 9

x = 9/5

x = 1.8

so,

length of the parallelogram = 1.8 cm

breadth = 1.5x

= 1.5 × 1.8

= 2.7 cm

so,

in parallelogram

Length = 1.8 cm

Breadth = 2.7 cm

Answer 2

Answer: 1.5 cm and 3 cm

Step-by-step explanation:

Let the first side of parallelogram  be  x cm.

Its given that second side is 1.5 more than other side,

So,

Second side = (x + 1.5) cm

Perimeter of parallelogram = 9 cm.

Basically, Perimeter is nothing but the sum of  measure of all sides.

We know that, there are 4 sides in the parallelogram, which consecutive opposite sides are equal in the length.

Hence, perimeter contains both sides(first and second) at two times.

So,

Perimeter = 2[First side + Second Side]

9 = 2[x + (x + 1.5)]

9 = 2[x + x + 1.5]

9 = 2[2x + 1.5]

9 = 4x + 3.0

4x = 9 - 3

4x = 6

x = 6/4

x = 3/2

x = 1.5

First side = 1.5 cm

Second side = 1.5 + 1.5 = 3cm