note: the figure is not drawn to scale.\n(a) use all four side lengths.\nperimeter = □ + □ + □ + □\n(b)…

note: the figure is not drawn to scale.\n(a) use all four side lengths.\nperimeter = □ + □ + □ + □\n(b) simplify the expression from part (a).\nperimeter = □

note: the figure is not drawn to scale.\n(a) use all four side lengths.\nperimeter = □ + □ + □ + □\n(b) simplify the expression from part (a).\nperimeter = □

Answer

Explanation:

Step1: Write the perimeter expression

The perimeter of a polygon is the sum of all its side lengths. For the given quadrilateral with side lengths (7x), (8x), (14x), and (12), the perimeter expression (a) is (7x + 8x+14x + 12).

Step2: Simplify the expression

Combine like - terms. The terms with (x) are (7x), (8x), and (14x). Using the distributive property (ax+bx + cx=(a + b + c)x), we have ((7 + 8+14)x+12). Since (7 + 8+14 = 29), the simplified expression (b) is (29x+12).

Answer:

(a) Perimeter (=7x + 8x+14x + 12) (b) Perimeter (=29x + 12)