Question

the perimeter of a square is represented by the expression 80y - 16. which expression represents the length of a side? 40y - 8; 80y - 4; 20y - 4; 20y - 16

Explanation:

Step1: Recall square perimeter formula

Perimeter of square: $P = 4s$, where $s$ = side length.

Step2: Isolate side length $s$

Rearrange formula: $s = \frac{P}{4}$

Step3: Substitute given perimeter

Substitute $P = 80y - 16$:
$s = \frac{80y - 16}{4}$

Step4: Simplify the expression

$s = \frac{80y}{4} - \frac{16}{4} = 20y - 4$

Answer:

$20y - 4$