Question

challenge: holly wants to make a frame for a painting. the painting is square and has area 225 square inches. the framing material costs $1.35 per inch. how much will she spend? she will spend $□. (simplify your answer.)

Explanation:

Step1: Find side - length of square painting

Since the area of a square is $A = s^{2}$ and $A=225$ square inches, then $s=\sqrt{225}=15$ inches.

Step2: Calculate perimeter of square painting

The perimeter of a square is $P = 4s$. Substituting $s = 15$ inches, we get $P=4\times15 = 60$ inches.

Step3: Calculate total cost

The cost per inch of framing material is $\$1.35$. So the total cost $C=1.35\times P$. Substituting $P = 60$ inches, we have $C=1.35\times60=\$81$.

Answer:

$81$