Question

A square plywood platform has a perimeter which is $9$ times the length of a side, decreased by $35$. Find the length of a side.

• A. $7$
• B. $1$
• C. $12$
• D. $5$

Answer 1

The correct option is A $7$

Let, length of side be $x$ m

We know, Perimeter of square of platform $=4\left(side\right)$

Let, Perimeter of the platform be $P$

A.T.Q,

$P=9x-35$

$⟹4x=9x-35$

$⟹4x-9x=-35$

$⟹-5x=-35$

$⟹x=\frac{-35}{-5}=7$

$\therefore$ the length of each side is $7m$