Question

Help me write a simplified expression for the side length of the square. Please.

Answer 1

-10b³ + 12

Explanation:

The perimeter of a two-dimensional shape is the distance all the way around the outside.

As a square has four sides of equal length, the perimeter of a square is four times the length of one side.

Therefore, to find the expression for the side length of a square, simply divide the expression for the perimeter by 4.

`\begin{aligned}\textsf{Side length of a square}&=\frac{\textsf{perimeter}}{4}\\\\\implies \textsf{Side length of the square}&=(-40b^3+48)/(4)\\\\&=(-40b^3)/(4)+(48)/(4)\\\\&=-10b^3+12\end{aligned}`

Answer 2

Side length of square = -10b³ + 12

Explanation:

Forming the equation,

→ P = 4 × side

→ P = 4a

→ [ a = P/4 ]

Now the side length of square is,

→ a = P/4

→ a = (-40b³ + 48)/4

→ a = (-40b³ ÷ 4) + (48 ÷ 4)

→ a = (-10b³) + (12)

→ [ a = -10b³ + 12 ]

Hence, side length is -10b³ + 12.