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Verified Answer :

256.5/18= 14.25

(14.25x2)+(18x2)= 64.5m

Perimeter of the rectangle is 64.5 m

Further explanation

To solve the above questions, we need to recall some of the formulas as follows:

Area of Rectangle = Length × Width

Perimeter of Rectangle = 2 × ( Length + Width )

Let us now tackle the problem !

Given:

Area of Rectangle = A = 256.5 m²

Length of Rectangle = L = 18 m

Unknown:

Perimeter of Rectangle = P = ?

Solution:

This problem is about Area and Perimeter of Rectangle.

Let's find the width of Rectangle.

\(\texttt{Area of Rectangle} = \texttt{Length} \times \texttt{Width}\)

\(256.5 = 18 \times \texttt{Width}\)

\(\texttt{Width} = 256.5 \div 18\)

\(\texttt{Width} = \boxed {14.25 ~ \texttt{m}}\)

Let's find the perimeter of Rectangle.

\(\texttt{Perimeter of Rectangle} = 2 (\texttt{Length} + \texttt{Width})\)

\(P = 2 ( L + W )\)

\(P = 2 ( 18 + 14.25 )\)

\(P = 2 ( 32.25 )\)

\(P = \boxed {64.5 ~ \texttt{m}}\)

Learn more

  • The perimeter of a polygon : https://brainly.com/question/6361596
  • The perimeter of a rectangle : https://brainly.com/question/7619923
  • The perimeter of a triangle : https://brainly.com/question/2299951

Answer details

Grade: College

Subject: Mathematics

Chapter: Two Dimensional Figures

Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width

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