The perimeter of a shape is the sum of its side lengths.
The possible dimensions of the rectangle whose perimeter is 14 cm are:
A. 1 cm by 6 cm
B.2 cm by 5 cm
C. 3 cm by 4 cm
D. 4 cm by 3 cm
E. 5 cm by 2 cm
F. 6 cm by 1 cm
The perimeter is given as:
[tex]\mathbf{ Perimeter = 14cm}[/tex]
The perimeter of a rectangle is:
[tex]\mathbf{Perimeter = 2 \times (Length + Width)}[/tex]
So, we have:
[tex]\mathbf{A.\ Perimeter = 2 \times (1cm+ 6cm) = 14cm}[/tex]
[tex]\mathbf{B.\ Perimeter = 2 \times (2cm+ 5cm) = 14cm}[/tex]
[tex]\mathbf{C.\ Perimeter = 2 \times (3cm+4cm) = 14cm}[/tex]
[tex]\mathbf{D.\ Perimeter = 2 \times (4cm+3cm) = 14cm}[/tex]
[tex]\mathbf{E.\ Perimeter = 2 \times (5cm+2cm) = 14cm}[/tex]
[tex]\mathbf{F.\ Perimeter = 2 \times (6cm+1cm) = 14cm}[/tex]
[tex]\mathbf{G.\ Perimeter = 2 \times (7cm+7cm) = 28cm}[/tex]
[tex]\mathbf{H.\ Perimeter = 2 \times (8cm+6cm) = 28cm}[/tex]
By comparing the options with the given perimeter, the correct dimensions are:
A. 1 cm by 6 cm
B.2 cm by 5 cm
C. 3 cm by 4 cm
D. 4 cm by 3 cm
E. 5 cm by 2 cm
F. 6 cm by 1 cm
Read more about perimeters at:
https://brainly.com/question/6465134
