Question

1. what is the area of the shaded portion of the picture frame?

a. 117 in.²
b. 144 in.²
c. 225 in.²
d. 306 in.²
directions: study the figure, read each question, and choose the best answer.

1. what is the perimeter of the figure?

a. 85 cm
b. 112 cm
c. 114 cm
d. 116 cm

1. what is the area of the figure?

a. 648 cm²
b. 710 cm²
c. 741 cm²
d. 837 cm²

Explanation:

Step1: Calculate the perimeter of the figure

The perimeter of a shape is the sum of all its sides.
For the given figure, we can calculate the perimeter as follows:

• The top side is \(31\) cm.
• The bottom side is \(27\) cm.
• The two vertical sides on the left and right:
• The left side has two parts: \(3\) cm and \(24\) cm.
• The right side also has two parts: \(3\) cm and \(24\) cm.
• The remaining two sides (the "extensions" on the top):
• Each extension has a length of \((31 - 27)\div2= 2\) cm.

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Step2: Calculate the area of the figure

The figure can be divided into two rectangles.

• The first rectangle (the top part) has dimensions \(31\) cm (length) and \(3\) cm (width).
• The second rectangle (the bottom part) has dimensions \(27\) cm (length) and \(24\) cm (width).

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Answer:

1. D. \(116\) cm
2. C. \(741\) cm²