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L=120Mquad B=10mquad sideslope =3:1 {:[L=120M,B=10m],[d_(1)=1m,d_(2)=1.5" मिटी की आवश्यक मात्र "]:} {:[A_(1)=B ×d_(1)+2×(10)/(2)×5d_(1)×d_(1)],[=10 ×1+3]:}

L=120MB=10 m L=120 \mathrm{M} \quad B=10 \mathrm{~m} \quad sideslope =3:1 =3: 1 \newlineL=120MB=10 md1=1 md2=1.5 मिटी की आवश्यक मात्र  \begin{array}{ll}L=120 \mathrm{M} & B=10 \mathrm{~m} \\ d_{1}=1 \mathrm{~m} & d_{2}=1.5 \text { मिटी की आवश्यक मात्र }\end{array} \newlineA1=B×d1+2×102×5d1×d1=10×1+3 \begin{aligned} A_{1} & =B \times d_{1}+2 \times \frac{10}{2} \times 5 d_{1} \times d_{1} \\ & =10 \times 1+3\end{aligned}

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Q. L=120MB=10 m L=120 \mathrm{M} \quad B=10 \mathrm{~m} \quad sideslope =3:1 =3: 1 \newlineL=120MB=10 md1=1 md2=1.5 मिटी की आवश्यक मात्र  \begin{array}{ll}L=120 \mathrm{M} & B=10 \mathrm{~m} \\ d_{1}=1 \mathrm{~m} & d_{2}=1.5 \text { मिटी की आवश्यक मात्र }\end{array} \newlineA1=B×d1+2×102×5d1×d1=10×1+3 \begin{aligned} A_{1} & =B \times d_{1}+2 \times \frac{10}{2} \times 5 d_{1} \times d_{1} \\ & =10 \times 1+3\end{aligned}
  1. Calculate Area: Calculate the area of the trapezoid using the formula for the area of a trapezoid, A=(a+b)2×hA = \frac{(a + b)}{2} \times h, where aa and bb are the lengths of the parallel sides, and hh is the height. Here, the parallel sides are the breadths at the top and bottom of the trapezoid, and the height is the average depth.\newlineCalculation: \newlinea=B+2×side_slope×d1=10 m+2×3×1 m=22 ma = B + 2 \times \text{side\_slope} \times d_1 = 10\,\text{m} + 2 \times 3 \times 1\,\text{m} = 22\,\text{m}\newlineb=B+2×side_slope×d2=10 m+2×3×1.5 m=25 mb = B + 2 \times \text{side\_slope} \times d_2 = 10\,\text{m} + 2 \times 3 \times 1.5\,\text{m} = 25\,\text{m}\newlineh=(d1+d2)2=(1 m+1.5 m)2=1.25 mh = \frac{(d_1 + d_2)}{2} = \frac{(1\,\text{m} + 1.5\,\text{m})}{2} = 1.25\,\text{m}\newlineA=(a+b)2×h=(22 m+25 m)2×1.25 m=29.375 m2A = \frac{(a + b)}{2} \times h = \frac{(22\,\text{m} + 25\,\text{m})}{2} \times 1.25\,\text{m} = 29.375\,\text{m}^2
  2. Check Calculation: Check the calculation for any mathematical errors.\newlineCalculation Check:\newline- Correct formula for the area of a trapezoid used.\newline- Correct calculation of the lengths of the parallel sides.\newline- Correct calculation of the average depth.\newline- Correct final area calculation.

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