Question

If the ratio of adjacent sides of a parallelogram is 3 : 5 and its perimeter is 320 cm, then the length of the longer side will be

Answer 1

Step-by-step explanation:

opposite sides of parallelogram are equal

parallelogram ABCD

AD=BC=3x

AB=CD=5x

perimeter of parallelogram=320cm

perimeter of the parallelogram=sum of all 4 sides are of parallelogram

=3x+5x+3x+5x=320

16x=320

x=320/16=20

so,3x=3×20=60

5x=5×20=100

the sides of the parallelogram is equal to 60cm,100cm,60cm,100cm

the the length of the longer side is 100cm

Answer 2

Answer:

Longer side = 100cm

Step-by-step explanation:

Given

• Ratio of adjacent sides of parallel sides is 3:5

• The perimeter of adjacent side = 320cm

To Find

• The length of longer side =?

Procedure

Let's assume assume length = 3x

Let's assume breadth = 5x

We know that :

Perimeter = 2(length + breadth)

$\sf \implies \: 320 = 2(3x + 5x)$

$\sf \implies \: 320 = 6x + 10x$

Let's flip the equation (we want variables to the left)

$\sf \implies \: \: 6x + 10x = 320$

$\sf \implies \: 16x = 320$

$\sf \implies \:x = \dfrac{320}{16}$

$\sf \implies \:x = 20cm$

Now , our ratios were 3x and 5x. Obviously we can make out that 5x is the longer side. We are just asked to find the value of 5x.

So , substituting the value.

$\sf \longrightarrow \: longer \: side \: = 5x$

$\sf \longrightarrow \: longer \: side = 5 \times 20$

$\sf \longrightarrow \: \: longer \: side \: = 100cm$

(not asked)

$\sf \longrightarrow \: smaller \: side = 3x$

$\sf \longrightarrow \: smaller \: side = 3 \times 20$

$\sf \longrightarrow \: smaller \: side \: = 60 cm$

What you need to know ?

• formed by pair agnles on the same side of a straight line when intersected by another line.

• Ratio is the quantititative relation between two quantities.

• Medival writers were first to make ratio into use.