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Write two expressions for the perimeter of the figure.

Note: The figure is not drawn to scale.
(a) Use all four side lengths.

(b) Simplify the expression from part (a).

Write two expressions for the perimeter of the figure. Note: The figure is not drawn-example-1
User Raven
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2 Answers

3 votes

Answer :

  • a) 18x + 9x + 4x + 16
  • b) 31x + 16

Given :

  • 4 sides and their lengths

To find :

  • The perimeter

Solution :

we know that,

  • The perimeter of a shape is the sum of all of it's sides
  • Perimeter of the given shape = 18x + 16 + 4x + 9x
  • Perimeter of the given shape = 31x + 16

Thus, the perimeter of the given figure would be 31x + 16 .

User Ted Xu
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8.1k points
7 votes

Answer:


\textsf{(a)} \quad \textsf{Perimeter} = \boxed{18x}+\boxed{16}+\boxed{4x}+\boxed{9x}


\textsf{(b)}\quad \textsf{Perimeter}=\boxed{31x+16}

Explanation:

The perimeter of a two-dimensional shape is the sum of the lengths of its outer edges. Therefore, for the given four-sided figure, the perimeter is the sum of its four side lengths:


\textsf{Perimeter} = \boxed{18x}+\boxed{16}+\boxed{4x}+\boxed{9x}

We can simplify the expression by combining like terms:


\begin{aligned}\textsf{Perimeter} &= 18x+16+4x+9x\\&=18x+9x+4x+16\\&=\boxed{31x+16}\end{ailgned}

User Tom Chantler
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8.5k points

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