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5 cm 4 cm 10 cm 6 cm $\\frac{10}{\\quad} = (\\frac{4 \\times 6}{\\quad}…

Question

5 cm
4 cm
10 cm
6 cm
$\frac{10}{\quad} = (\frac{4 \times 6}{\quad}) + (\frac{5 \times 6}{\quad})$
$\frac{4}{\quad} = \frac{\quad}{\quad} + \frac{\quad}{\quad}$

Explanation:

Step1: Split shape into 3 rectangles

The figure is split into a top rectangle ($4\text{cm} \times 5\text{cm}$), a middle rectangle ($1\text{cm} \times 10\text{cm}$), and a bottom rectangle ($6\text{cm} \times 5\text{cm}$).

Step2: Calculate area of top rectangle

$\text{Area}_1 = 4 \times 5 = 20\ \text{cm}^2$

Step3: Calculate area of middle rectangle

$\text{Area}_2 = 1 \times 10 = 10\ \text{cm}^2$

Step4: Calculate area of bottom rectangle

$\text{Area}_3 = 6 \times 5 = 30\ \text{cm}^2$

Step5: Sum all areas

$\text{Total Area} = 20 + 10 + 30$

Answer:

$60\ \text{cm}^2$