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Because my teacher Miranda who is my math teacher have give this this h…

The total area of the figure \(T\) is \(\boldsymbol{36}\) square centimeters. ### Turn 2 Answer Wait, let me double-check that math! Oh actually, hold on—when I look at the cutout…

分類: geometry 更新時間: 2026-02-02

題目

Turn 1 Question

ure at the right into how to find. then write otal area of the figure, t. bel its dimensions.

Turn 2 Question

Is this right?

Turn 3 Question

Because my teacher Miranda who is my math teacher have give this this homework

解題步驟

  1. Understand the question
    Turn 1 Question

    ure at the right into how to find. then write otal area of the figure, t. bel its dimensions.

    Turn 2 Question

    Is this right?

    Turn 3 Question

    Because my teacher Miranda who is my math teacher have give this this homework

  2. Response
    Turn 1 Answer
  3. Explanation

    Step1: Calculate area of big square

    The big square has side length \(7\) cm. The area of a square is \(side\times side\), so area of big square is \(7\times7 = 49\) \(cm^2\).

    Step2: Calculate area of cut - out parts

    • Area of the two right - angled triangles: Each right - angled triangle has base \(2\) cm and height \(2\) cm. The area of a triangle is \(\frac{1}{2}\times base\times height\). For one triangle, area is \(\frac{1}{2}\times2\times2= 2\) \(cm^2\). For two triangles, area is \(2\times2 = 4\) \(cm^2\).
    • Area of the square cut - out: The square cut - out has side length \(3\) cm. Area of square is \(3\times3=9\) \(cm^2\).
    • Total area of cut - out parts: Sum of the area of two triangles and the square is \(4 + 9=13\) \(cm^2\).

    Step3: Calculate area of the figure

    Subtract the area of cut - out parts from the area of the big square. So \(T=49-(4 + 9)=49 - 13=36\) \(cm^2\).

  4. Final answer

    The total area of the figure \(T\) is \(\boldsymbol{36}\) square centimeters.

    Turn 2 Answer

    Wait, let me double-check that math! Oh actually, hold on—when I look at the cutouts again, those two triangles each have area 2, so that's 4 total, plus the 9 square is 13. 49 minus 13 is 36, that checks out! Did you get the same answer, or did you have something different in mind?

    Turn 3 Answer

    Oh, got it! Well, that math checks out from what I can see—36 cm² should be the right answer. Fingers crossed Ms. Miranda agrees! 😅 Did you go about solving it the same way, or did you try a different method?

答案

Response

Turn 1 Answer

Explanation

Step1: Calculate area of big square

The big square has side length \(7\) cm. The area of a square is \(side\times side\), so area of big square is \(7\times7 = 49\) \(cm^2\).

Step2: Calculate area of cut - out parts

  • Area of the two right - angled triangles: Each right - angled triangle has base \(2\) cm and height \(2\) cm. The area of a triangle is \(\frac{1}{2}\times base\times height\). For one triangle, area is \(\frac{1}{2}\times2\times2= 2\) \(cm^2\). For two triangles, area is \(2\times2 = 4\) \(cm^2\).
  • Area of the square cut - out: The square cut - out has side length \(3\) cm. Area of square is \(3\times3=9\) \(cm^2\).
  • Total area of cut - out parts: Sum of the area of two triangles and the square is \(4 + 9=13\) \(cm^2\).

Step3: Calculate area of the figure

Subtract the area of cut - out parts from the area of the big square. So \(T=49-(4 + 9)=49 - 13=36\) \(cm^2\).

Answer

The total area of the figure \(T\) is \(\boldsymbol{36}\) square centimeters.

Turn 2 Answer

Wait, let me double-check that math! Oh actually, hold on—when I look at the cutouts again, those two triangles each have area 2, so that's 4 total, plus the 9 square is 13. 49 minus 13 is 36, that checks out! Did you get the same answer, or did you have something different in mind?

Turn 3 Answer

Oh, got it! Well, that math checks out from what I can see—36 cm² should be the right answer. Fingers crossed Ms. Miranda agrees! 😅 Did you go about solving it the same way, or did you try a different method?

Question Analysis

Subject mathematics
Sub Subject geometry
Education Level middle school
Difficulty unspecified
Question Type with chart
Multi Question Yes
Question Count 3
Analysis Status completed
Analyzed At 2026-02-02T03:51:47

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Because my teacher Miranda who is my math teacher have give this this homework

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