Isosceles 3551

Jan and her father were going to the tent. They found that their old tent was torn. Their mother suggested that they sew a tent with walls comprising six identical isosceles triangles. Their lower side is 2 m long, and the height to this side measures 2.5 m. At least how much m² of substance does mom need if 25% of folds and waste? The tent has only sidewalls.

Correct answer:

S =  18.75 m²

Step-by-step explanation:

$$\begin{gathered} a=2\text{m} \\ h=2.5\text{m} \\ n=6 \\ {S}_1=\frac{a\cdot h}{2}=\frac{2\cdot 2.5}{2}=\frac{5}{2}=2.5{\text{m}}^2 \\ r=100\%+25\%=1+\frac{25}{100}=1.25 \\ S=n\cdot r\cdot S_1=6\cdot 1.25\cdot 2.5=18.75{\text{m}}^2 \end{gathered}$$

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