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Find the area of the figure. I understand that the units may be hard to enter, so l've included them for you.
What is the area of the square?

m^(2)
What is the area of the
trapezoid? 
◻ 
m^(2)
What is the area of the entire figure? 
◻ 
m^(2)

Find the area of the figure. I understand that the units may be hard to enter, so l've included them for you.\newlineWhat is the area of the square?\newlinem2 \mathrm{m}^{2} \newlineWhat is the area of the\newlinetrapezoid? \square m2 \mathrm{m}^{2} \newlineWhat is the area of the entire figure? \square m2 \mathrm{m}^{2}

Full solution

Q. Find the area of the figure. I understand that the units may be hard to enter, so l've included them for you.\newlineWhat is the area of the square?\newlinem2 \mathrm{m}^{2} \newlineWhat is the area of the\newlinetrapezoid? \square m2 \mathrm{m}^{2} \newlineWhat is the area of the entire figure? \square m2 \mathrm{m}^{2}
  1. Calculate Square Area: Step 11: Find the area of the square.\newlineArea of a square = side2side^2.\newlineAssume the side of the square is 'ss' meters.\newlineArea = s2s^2 m2m^2.
  2. Calculate Trapezoid Area: Step 22: Find the area of the trapezoid.\newlineArea of a trapezoid = 12×(sum of parallel sides)×height\frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height}.\newlineAssume the parallel sides are 'aa' and 'bb' meters, and the height is 'hh' meters.\newlineArea = 12×(a+b)×h\frac{1}{2} \times (a + b) \times h m2\text{m}^2.
  3. Calculate Total Area: Step 33: Find the area of the entire figure.\newlineArea of the entire figure = Area of the square + Area of the trapezoid.\newlineTotal area = s2+12(a+b)hs^2 + \frac{1}{2} * (a + b) * h m2\text{m}^2.
  4. Substitute and Calculate Total Area: Step 44: Substitute the given values and calculate the area.\newlineAssume s=5ms = 5\,\text{m}, a=6ma = 6\,\text{m}, b=4mb = 4\,\text{m}, and h=3mh = 3\,\text{m}.\newlineTotal area = 52+12×(6+4)×3m25^2 + \frac{1}{2} \times (6 + 4) \times 3\,\text{m}^2.\newlineTotal area = 25+12×10×3m225 + \frac{1}{2} \times 10 \times 3\,\text{m}^2.\newlineTotal area = 25+5×3m225 + 5 \times 3\,\text{m}^2.\newlineTotal area = 25+15m225 + 15\,\text{m}^2.\newlineTotal area = 40m240\,\text{m}^2.

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