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A New Square Is Formed By Joining The Midpoints Of The Consecutive Sides Of A Square 8 Inches On A Side. If The Process Is Continued Until There Are A
A new square is formed by joining the midpoints of the consecutive sides of a square 8 inches on a side. If the process is continued until there are already six squares, find the sum of the areas of all squares in square inches. a. 96 b. 112 c. 124 d. 126 Area of the Square: The sum of the areas of all six squares formed by joining the midpoints of the consecutive sides of a square 8 inches on a side in square inches is 126. Given: square 1 – 8 inches per side Solution: Solve for the area of the first square using the formula A = s² such that, A = (8 inches)² = 64 inches². Therefore, area of the first square is 64 inches². Given that the next square is formed by connecting the midpoints of the first square then we can get the area of the second square by dividing the area of the first square by 2 which is 64/2 = 32. Thus, the area of the second square is 32 inches². Get the area of the third square by dividing the area of the second square by 2 which is 32/...
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