The area covered by the planter is 220¹/₂ in² = 220,5 in²
Further explanation
To solve the above questions, we need to recall some of the formulas as follows:
Area of Square = (Length of Side)²
Perimeter of Square = 4 × (Length of Side)
Area of Rectangle = Length × Width
Perimeter of Rectangle = 2 × ( Length + Width )
Area of Rhombus = ½ × ( Diagonal₁ + Diagonal₂ )
Perimeter of Rhombus = 4 × ( Length of Side )
Area of Kite = ½ × ( Diagonal₁ + Diagonal₂ )
Perimeter of Kite = 2 × ( Length of Side₁ + Length of Side₂ )
Let us now tackle the problem !
Given:
Length of Rectangle = L = 3¹/₂ inches
Width of Rectangle = W = 1³/₄ inches
Unknown:
Area of Plainter = A = ?
Solution:
This problem is about Area of Rectangle.
[tex]\texttt{Area of Rectangle} = \texttt{Length} \times \texttt{Width}[/tex]
[tex]\texttt{Area of Rectangle} = \texttt{Length} \times \texttt{Width}[/tex]
[tex]\texttt{Area of Rectangle} = 3\frac{1}{2} \times 1\frac{3}{4}[/tex]
[tex]\texttt{Area of Rectangle} = \boxed {6\frac{1}{8} ~ \texttt{in}^2}[/tex]
There is a 6 × 6 array of these planters with no space.
[tex]\texttt{Total Area Covered} = 6 \times 6 \times \texttt{Area of Rectangle}[/tex]
[tex]\texttt{Total Area Covered} = 6 \times 6 \times 6\frac{1}{8}[/tex]
[tex]\texttt{Total Area Covered} = \boxed {220\frac{1}{2} ~ \texttt{in}^2}[/tex]
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
