14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find the length of each of its sides.

length = 15

breadth = 9

Step-by-step explanation:

let the ratio constants be x

so length = 5x

breadth = 3x

area of parallelogram= 2 (l+b) = 2 (5x + 3x) = 2 (8x)

= 16x = 48

= x = 48/16

= x = 3

so length = 5× x = 5× 3 = 15

and breadth = 3 × x = 3 × 3 = 9

Perimeter of the parallelogram = 2( length + breadth)

Let the length and breadth be 5x and 3x

2(5x + 3x) = 48cm

2(8x) = 48cm

x = 48/16

x = 3cm

Length = 5x = 5×3cm = 15cm

Breadth = 3x = 3×3cm = 9cm

We know that,

In parallelogram Opposite sides are equal

over the argument its not good to fight.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west