Question

the perimeter of a parallelogram is 80cm.if the longer side is 10 cm greater than the shorter side. find the length of the sides of the parallelogram​

Answer 1

G I V E N :

The perimeter of a parallelogram is 80cm. If the longer side is 10 cm greater than the shorter side. Find the length of the sides of the parallelogram.

S O L U T I O N :

GivEn that ⤵

Perimeter of the parallelogram is 80 cm

Let us assume ⤵

The shorter side of the parallelogram be x

❍ According to the question,

The longer side is 10 cm more than the shorter side

So,

The longer side be x + 10 cm

Formula for perimeter of parallelogram ⤵

$\star \: \underline{ \boxed{ \red{ \frak{{ \sf P}erimeter_{({ \sf P}arallelogram)}=2(Length+Breadth)}}}}$

Now, putting the values in the given formula we get :

$\twoheadrightarrow \frak{{ \sf P}erimeter_{( {\sf P}arallelogram)}=2(x +10 \: cm + x )}$

$\twoheadrightarrow \frak{80 \: cm = 2(2x + 10 \: cm)}$

$\twoheadrightarrow\frak{80 \: cm = 4x + 20 \: cm}$

$\twoheadrightarrow \frak{4x = 80 \: cm - 20 \: cm}$

$\twoheadrightarrow \frak{4x = 60 \: cm}$

$\twoheadrightarrow \frak{x = \frac{60}{4} \: cm }$

$\twoheadrightarrow \frak{x = \cancel \frac{60}{4} \: cm }$

$\star \: \underline{ \boxed{ \green{ \frak{x = 15 \: cm}}}}$

______________________________

❍ Finding Lengths ⤵

Length of the shorter side = x = 15 cm

Length of the longer side = x + 10 cm = 15 cm + 10 cm = 25 cm

╭☞ The longer side is 25 cm and the shorter side is 15 cm

Answer 2

longer is 25

shorter is 15

don't believe up answer okay