Problem

7 Find the area of these composite shapes. two decimal places.
a
b
4

Answer

Expert–verified
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Answer

\(\boxed{28 - \pi}\)

Steps

Step 1 :\(\text{Area of rectangle} = 4 \times 7 = 28\)

Step 2 :\(\text{Radius of quarter-circle} = \frac{4}{2} = 2\)

Step 3 :\(\text{Area of quarter-circle} = \frac{1}{4} \times \pi \times 2^2 = \pi\)

Step 4 :\(\text{Area of non-shaded region} = \text{Area of rectangle} - \text{Area of quarter-circle} = 28 - \pi\)

Step 5 :\(\boxed{28 - \pi}\)

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