Question

The perimeter of a parallelogram is $38\text{cm}$. If the longer side is $11\text{cm}$, find the length of shorter side.

• A. $5\text{cm}$
• B. $2\text{cm}$
• C. $8\text{cm}$
• D. $4\text{cm}$

Answer 1

The correct option is C $8\text{cm}$

Given:

perimeter of parallelogram $=38\text{cm}$

length of longer side $=11\text{cm}$

To find: shorter side

since, perimeter of parallelogram $=2(l+h)$

$⟹38=2(l+b)$

$⟹38=2(11+b)$

$⟹38=22+2b$

$⟹b=\frac{16}{2}$

$⟹b=8\text{cm}$

$\therefore$ The length of the shorter side is $8\text{cm}$