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 (1)/(4) + 8 + 1 (1)/(4) = 10 + (2)/(4) = 10 + (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