Answer:
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.
