Question

1. in the figure below, each pair of intersecting line segments meets at a right angle, and all lengths are given in millimeters. what is the perimeter, in millimeters, of the given figure?

a. 80 b. 88 c. 96 d. 102 e. 116

1. points x and y lie on wz, as shown below. the length of wz is 36 inches; wy is 16 inches long; and xz is 28 inches long. how many inches long, if it can be determined, is xy?
2. a triangle abc has a perimeter of 22 centimeters with side that is 7 centimeters long. the length of the remaining two sides have a ratio of 2:3. what is the length, in centimeters, of the shortest side of the triangle?
3. marie is centering a tapestry on her living room wall. as shown in the figure below, the rectangular wall is 36 feet in length, and the tapestry is 4 feet in height and 8 feet in length. the right edge of the tapestry will be x feet from the right edge of the wall, and the left edge of the tapestry will also be x feet from the left edge of the wall. what is the value of x in feet?
4. find the length of a rectangle if its length is twice the width and the perimeter is 48 inches.

Explanation:

Step1: Analyze the figure

The figure can be transformed into a rectangle by moving the line segments.

Step2: Calculate the perimeter of the rectangle

The formula for the perimeter of a rectangle is \(P = 2\times (l + w)\). Here, \(l=32\) and \(w = 16\).

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Answer:

C. 96