Subjects algebra

Missing Square

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1. The problem involves finding the missing values (either a circle or a square) in rectangles where the product of the top and bottom numbers equals the number inside the rectangle. 2. The formula used is: $$\text{Top Left} \times \text{Bottom Right} = \text{Inside Number}$$ and $$\text{Top Right} \times \text{Bottom Left} = \text{Inside Number}$$ for rectangles with circles, and for rectangles with squares, we use the same principle to find the missing side. 3. For Exercise 7b, the rectangle has numbers 6 (top-left), 5 (top-right), 5 (bottom-right), 5 (bottom-left), and inside number 22, with a missing square on the left side outside the rectangle. 4. Let the missing square be $x$. The product of the left side numbers and the right side numbers should equal the inside number. 5. Since the rectangle is a bit different, we consider the product of the left side (which includes $x$ and 5) and the right side (5 and 5) to equal 22. 6. Calculate the product of the right side: $$5 \times 5 = 25$$ 7. The product of the left side is $$x \times 5 = 5x$$ 8. The product of the left side times the right side should equal the inside number 22, so: $$5x = 22$$ 9. Solve for $x$: $$x = \frac{22}{5} = 4.4$$ 10. Therefore, the missing square value is $4.4$. Final answer: The missing square value is $4.4$.