Answer:
The correct options is;
A. 54
Step-by-step explanation:
The given parameters are;
The perimeter of the square = 28 feet
The increase in the dimension of the length of square = 2 feet
The decrease in the dimension of the width of square = 1 feet
We answer as follows;
Let the length of the side of the square = L
The formula for the perimeter of a square = 4 × L
∴ 4 × L = 28 feet
L =28/4 = 7 feet
L = 7 feet
After applying the given modifications, we have;
The new length, L₁ = L + 2 feet = 7 feet + 2 feet = 9 feet
The new length, L₁ = 9 feet
The new width, W = L - 1 feet = 7 feet - 1 feet = 6 feet (The width and the length, L of a square are equal)
The new width, W = 6 feet
Therefore;
The area of the new figure = The new length × The new width
Substituting the values gives;
The area of the new figure = 9 feet × 6 feet = 54 feet².
The area of the new figure = 54 feet².
