Rectangle 6946

The triangle has a base of 7 cm and a height of 6 cm. The rectangle has one side of 10.5 cm and the same area as the triangle. What is the length of the other side of the rectangle?

Correct answer:

b =  2 cm

Step-by-step explanation:

$$\begin{gathered} a=10.5\text{cm} \\ z=7\text{cm} \\ h=6\text{cm} \\ S=\frac{z\cdot h}{2}=\frac{7\cdot 6}{2}=21{\text{cm}}^2 \\ S=ab \\ b=S/a=21/10.5=2\text{cm} \end{gathered}$$

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