Respuesta :

Answer:

4

Step-by-step explanation:

Each box is 1 larger than the earlier one, so the boxes are 1, 2, 3, 4, and 5.

4 + 5 is the width across the bottom

2 + 3 is the width across the top (not counting h)

9 - 5 = 4, so h = 4

The value of h is 4. Hence, Option C is the best choice.

Found using the area of the given square.

What is the area of a square?

The area of a square is the square of its sides.

If a represents the side of the square, then its area is a².

How to solve the given question?

In the question, we are given five squares positioned as shown in the figure. The smallest square has an area of 1.

We are asked to find the value of h.

Now, the square of area 1, will have sides of length √1 = 1.

The second square, just greater than this, is nearly 1.5 times this square.

Hence the side of that square = 1.5*1 = 1.

The third square has a side equal to the sum of the side of these two squares. Hence, its side = 1 + 1.5 = 2.5.

The fourth square has a side equal to the sum of the third and the first square. Hence, its side = 2.5 + 1 = 3.5.

The fifth square has a side equal to the sum of the fourth and the first square. Hence, its side = 3.5 + 1 = 4.5.

Now, h = length of the fifth square - (length of the second square - length of the first square),

or, h = 4.5 - (1.5 - 1) = 4.5 - 0.5 = 4.

Hence, the value of h is 4. Hence, Option C is the best choice.

Found using the area of the given square.

Learn more about the area of squares at

https://brainly.com/question/24487155

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