Question

1. what is the perimeter of the given composite figure? (round your answer to the nearest tenth.)

Explanation:

Step1: Identify side - lengths

Count the number of grid - units for straight sides. For the slanted side, use the Pythagorean theorem.

Step2: Calculate straight - side lengths

Let's assume each grid unit is 1. Counting the straight sides:

• Horizontal and vertical sides: There are sides of lengths 4, 4, 6, 6, 2.

Step3: Calculate slanted - side length

For the slanted side, the horizontal change ($a$) is 2 and the vertical change ($b$) is 4. By the Pythagorean theorem $c=\sqrt{a^{2}+b^{2}}=\sqrt{2^{2}+4^{2}}=\sqrt{4 + 16}=\sqrt{20}=2\sqrt{5}\approx4.5$.

Step4: Sum up all side - lengths

$P=4 + 4+6 + 6+2+4.5=26.5$.

Answer:

26.5