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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?

Réponse

Question Analysis

OCR Text

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

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