Question

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? you may assume that the framing material holly buys will be the exact amount she needs. she will spend $ (simplify your answer.)

Explanation:

Step1: Find the side - length of the 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 the perimeter of the square painting

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

Step3: Calculate the total cost

The cost per inch of the 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:

$81$