Question

for an art project you make a square print with a side length of 8 inches. You make a frame using strip of wood 1 1/4 inch wide. what is the area of the frame?

Answer 1

Given that square print has side length = 8 inches

Given that you make a frame using strip of wood 1 1/4 inch wide. Since frame is on both sides of the square print so new side length after adding the frame =$1 \frac{1}{4} + 8 + 1 \frac{1}{4} = 10 + \frac{2}{4} = 10 + \frac{1}{2} = 10.5$ inches

Area of the square is given by formula $= x^2$where x is the side of square

Shape of the frame including print will also be square so

Area of the frame including print $= 10.5^2 = 110.25$ square inches

Area of the print = $8^2 = 64$ square inches

We have to find the area of frame only so we can subtract area of print from the total area

Area of frame = [Area of frame including print] - [Area of print]

Area of frame = 110.25-64 = 46.25

Hence final answer is 46.25 square inches