Question

1. find the perimeter of this figure. corners that look square are square. dimensions are in yards. -3 - (-2) 9 16

Explanation:

Step1: Analyze the figure

The figure is composed of a semi - circle and a rectangle.

Step2: Calculate the perimeter of the rectangle part

The rectangle has two vertical sides of length \(l = 16\) yards and one horizontal side of length \(w=9\) yards. The perimeter of the rectangle part is \(P_{rect}=2\times16 + 9=32 + 9=41\) yards.

Step3: Calculate the circumference of the semi - circle

The formula for the circumference of a full - circle is \(C = 2\pi r\), for a semi - circle \(C_{semicircle}=\pi r\). Given \(r = 9\div2 = 4.5\) yards, so \(C_{semicircle}=\pi\times4.5\approx3.14\times4.5 = 14.13\) yards.

Step4: Calculate the total perimeter

The perimeter of the figure \(P=P_{rect}+C_{semicircle}=41+14.13 = 55.13\) yards.

Answer:

55.13 yards