Question

One side of a parallelogram is 14 cm and its perimeter is 48 cm find the length of remaining three sides​

Answer 1

$\Large\underline\mathbf{Given:-}$

• One side of parallelogram = 14 cm
• Perimeter of parallelogram = 48 cm

$\Large\underline\mathbf{To \: Find:-}$

• What is the length of remaining three sides ?

$\Large\underline\mathbf{Solution:-}$

Let the other side be "x" cm

❮ We know that, opposite sides of a parallelogram are equal ❯ 

• AB = DC = x cm
• AD = BC = 14 cm

To find the perimeter of parallelogram, we use the formula:-

$\large{\boxed{\bf{\star \: P = 2(BASE + HEIGHT) \: \star}}}$

${\underline{\bf{According \: To \: Question:-}}}$

➠ 48 = 2(x + 14)

➠ 48 = 2x + 28

➠ 48 –28 = 2x

➠ 20 = 2x

➠ $\sf{\cancel\dfrac{20}{2}}$ = x

➠ ⠀10 cm = x⠀

❝ Hence, the length of AB & DC is 10 cm and the length of AD & BC 14 cm ❞

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Answer 2

$\bold\star$$\fbox{Question:-}$

One side of a parallelogram is 14 cm and its perimeter is 48 cm find the length of remaining three sides

$\huge\bold\star$$\fbox{Given:-}$

One side of a parallelogram is 14 cm .

perimeter of parallelogram is 48 cm .

$\huge\bold\star$$\fbox{We\:have\:to\:find:-}$

the length of remaining three sides.

$\huge\bold\star$$\fbox{Solution:-}$

$\mathrm\red{Suppose \:let \:other\: side\: be \:x}$

[we know that the parallelogram have , opposite

sides are parallel and equal. ]

$\star$DC = AB = x cm.

$\star$AB = BC = 14 cm.

$\mathrm{Formula\:used\:to\:find\: perimeter\:of\: parallelogram}$

$\downarrow\downarrow\downarrow\downarrow\downarrow$

$\green \longrightarrow \fbox \green{p \: = \: 2 \: ( base × height)}$

$\mathrm{Now}$,

$\mathrm{put\:the\:values}$,

$\implies \: 48 = 2(x + 14)$

$\implies \: 48 = 2x + 28$

$\implies \: 48 - 28 = 2x$

$\therefore \implies \: 2x = 20$

$\therefore \implies \: x = \frac{20}{2}$

$\bold {➟ \: x = 10cm}$

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Hope it's helpful