the area of a rectangle is 256.5m2. if the length is 18m, what is the perimeter of the rectangle
Perimeter of the rectangle is 64.5 m
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.
\(\texttt{Perimeter of Rectangle} = 2 (\texttt{Length} + \texttt{Width})\)
\(P = 2 ( L + W )\)
\(P = 2 ( 18 + 14.25 )\)
\(P = 2 ( 32.25 )\)
\(P = \boxed {64.5 ~ \texttt{m}}\)
Grade: College
Subject: Mathematics
Chapter: Two Dimensional Figures
Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width