Find the area of the shaded regions. state your answers as exact values and approximate values.

Exact area = 1568 - 392π  cm^2.

Approximate area = 336.5 cm^2 to the nearest tenth.

Step-by-step explanation:

As there are 8 congruent circles arranged in 2 rows the length of the rectangle = 2 * the width.

2L + 2W = 168

L = 2W so:

4W + 2W = 168

W = 168/6

= 28cm

L = 56 cm.

Thus the area of the rectangle = 56 * 28 = 1568 cm^2.

The diameter of each circle = 28 / 2 = 14 cm so the radius = 7 cm.

Now the area of each circle = π r^2 =  49 π cm^2.

So the exact area of the shaded area =  1568 - 8 * 49 π.

= 1568 - 392 π  cm^2.

Approximate area =  336.5 cm^2 to the nearest tenth.

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