Calculate Square Area: Finding Area When Side Length is (6-3) cm

A square has sides measuring 6 cm long. Another square has sides measuring 3 cm less than those of the previous square. Calculate the area of the new square.

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Step-by-step video solution

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00:00 Find the area of the new square
00:03 The given square's side length
00:06 The new square's side is 3 less than the given one
00:10 Let's calculate the side length of the new square
00:15 We'll use the formula for square area (side squared)
00:19 We'll substitute appropriate values and solve for the area
00:23 And that's the solution to the question

Step-by-step written solution

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1

Understand the problem

A square has sides measuring 6 cm long. Another square has sides measuring 3 cm less than those of the previous square. Calculate the area of the new square.

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the original side length.
  • Step 2: Determine the new side length by subtracting 3 cm from the original side length.
  • Step 3: Apply the formula for the area of a square to find the area of the new square.

Now, let's work through each step:
Step 1: The original square has sides measuring 6 cm.
Step 2: The new square has sides measuring 63=3 6 - 3 = 3 cm.
Step 3: The area of the new square is calculated using the formula Area=side2 \text{Area} = \text{side}^2 .
Thus, the new area is 32=9 cm2 3^2 = 9 \ \text{cm}^2 .

Therefore, the solution to the problem is 9 cm2 9 \ \text{cm}^2 .

3

Final Answer

9

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\( 11^2= \)

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