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apply 7. copy each square on grid paper. find its area. then write the …

Question

apply

  1. copy each square on grid paper. find its area. then write the side length of the square.

a)
b)

Explanation:

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.

Answer:

a) Area: 16 square units, Side length: 4 units
b) Area: 25 square units, Side length: 5 units