Transplants 29961

In the middle of the square, they created a flower bed in the shape of an isosceles trapezoid. The parallel sides are 12 m and 8 m long. The bed is 6 m wide. How many flower transplants do they need to plant a flower bed if 4 dm² of space must be counted per transplant?

Correct answer:

n =  1500

Step-by-step explanation:

$$\begin{gathered} a=12\text{m} \\ b=8\text{m} \\ h=6\text{m} \\ S=\frac{a+b}{2}\cdot h=\frac{12+8}{2}\cdot 6=60{\text{m}}^2 \\ {S}_1=4{\text{dm}}^2\to {\text{m}}^2=4:100{\text{m}}^2=0.04{\text{m}}^2 \\ n=S/S_1=60/\frac{1}{25}=60:\frac{1}{25}=60\cdot \frac{25}{1}=\frac{60\cdot 25}{1}=\frac{1500}{1}=1500 \end{gathered}$$

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