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- copy each square on grid paper. find its area. then write the side length of the square.
a)
b)
Step1: Count full - and half - squares for part a
Count the number of full - squares and combine half - squares to form full - squares. Assume each small square on the grid has an area of 1 square unit.
Step2: Calculate area of part a
If there are 16 full - squares (by combining half - squares), the area \(A_a = 16\) square units. Since \(A = s^2\) for a square, and \(A_a=16\), then \(s_a=\sqrt{16}=4\) units.
Step3: Count full - and half - squares for part b
Count the full - squares and combine half - squares.
Step4: Calculate area of part b
Suppose we find 25 full - squares (after combining half - squares), so the area \(A_b = 25\) square units. Since \(A = s^2\) for a square, and \(A_b = 25\), then \(s_b=\sqrt{25}=5\) units.
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a) Area: 16 square units, Side length: 4 units
b) Area: 25 square units, Side length: 5 units