Centimeters 83177

The carpenter cut a right-angled triangle with free sides of 550 mm and 200 mm from the wooden canvas, the face of a rectangle with dimensions of 80 CM and 65 CM. How many square centimeters will the waste make up?

Correct answer:

S =  4650 cm²

Step-by-step explanation:

$$\begin{gathered} a=80\text{cm} \\ b=65\text{cm} \\ x=550\text{mm}\to \text{cm}=550:10\text{cm}=55\text{cm} \\ y=200\text{mm}\to \text{cm}=200:10\text{cm}=20\text{cm} \\ {S}_1=a\cdot b=80\cdot 65=5200{\text{cm}}^2 \\ {S}_2=\frac{x\cdot y}{2}=\frac{55\cdot 20}{2}=550{\text{cm}}^2 \\ S=S_1-S_2=5200-550=4650{\text{cm}}^2 \end{gathered}$$

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