Question

Roby’s kitchen design is a rectangle of length $8$ ft and width $6$ ft. Find the ratio of its perimeter to its area.

Answer 1

Length of the rectangle $=8$ ft
Width of the rectangle $=6$ ft
Perimeter of the rectangle $=8+8+6+6=28$ ft
Area of the rectangle $=8\times$$6=48f{t}^2$.

The ratio of perimeter to the area of the rectangle is $28:48$.

The ratio $28:48$ is not in its simplest form as it has other common factors.
Option A is correct.
Factors of $28$: $1,2,4,7,14,$ and $28$
Factors of $48$: $1,2,3,4,6,8,12,16,24,$ and $48$.

The common factors of $28$ and $48$ are $2$ and $4$.

On dividing both the numbers by $2$, the ratio becomes $14:24$.
Option B is correct.

On dividing both the numbers by $4$, the ratio becomes $7:12$.
Option C is correct.