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QUESTION IMAGE

meter (terms of pi) 4π + 5 meter (number) 67.5

Question

meter (terms of pi) 4π + 5
meter (number) 67.5

Explanation:

Step1: Analyze the shape

The figure consists of two semi - circles (which together form a full circle) and two straight - line segments.

Step2: Calculate the circumference of the circle

The diameter of the circle formed by the two semi - circles is \(d = 40\) m. The formula for the circumference of a circle is \(C=\pi d\). So \(C = 40\pi\) m.

Step3: Calculate the length of the straight - line segments

There are two straight - line segments each of length \(l = 50\) m. The total length of the straight - line segments is \(2\times50=100\) m.

Step4: Calculate the perimeter

The perimeter \(P\) of the figure is the sum of the circumference of the circle and the lengths of the straight - line segments. So \(P = 40\pi+100\) m.

It seems there are some incorrect values written in the provided text at the bottom of the image. If we assume you want a numerical approximation, taking \(\pi\approx3.14\), then \(P=40\times3.14 + 100=125.6+100 = 225.6\) m.

Answer:

The perimeter in terms of \(\pi\) is \(40\pi + 100\) m. If we take \(\pi\approx3.14\), the perimeter is approximately \(225.6\) m.