Nisha

Nisha likes to make small rectangular paintings of cats. One of her paintings has an area of 33cm squared and a width of 7 1/2 centimeters. What is the height of this painting?

Correct answer:

b =  4 ²⁄₅ = 22/5 cm

Step-by-step explanation:

$$\begin{gathered} S=33{\text{cm}}^2 \\ a=7\frac{1}{2}=7+\frac{1}{2}=\frac{7\cdot 2+1}{2}=\frac{14+1}{2}=\frac{15}{2}=7.5\text{cm} \\ S=ab \\ b=S/a=33/\frac{15}{2}=33:\frac{15}{2}=33\cdot \frac{2}{15}=\frac{33\cdot 2}{15}=\frac{66}{15}=\frac{22}{5}\text{cm}=4\frac{2}{5}\text{cm}=4.4\text{cm} \end{gathered}$$

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