The length of the side of the square is cm
(x>3)
If we extend one side by 1 cm and shorten an adjacent side by 1 cm, we obtain a rectangle
Determine the area of the rectangle?
The length of the side of the square is cm
(x>3)
If we extend one side by 1 cm and shorten an adjacent side by 1 cm, we obtain a rectangle
Determine the area of the rectangle?
First, recall the formula for calculating the area of a rectangle:
The area of a rectangle (which has two pairs of equal opposite sides and all angles are ) with sides of length units, is given by the formula:
(square units)
Proceed to solve the problem:
Calculate the area of the rectangle whose vertices we'll mark with letters (drawing)
It is given in the problem that one side of the rectangle is obtained by extending one side of the square with side length (cm) by 1 cm, and the second side of the rectangle is obtained by shortening the adjacent side of the given square by 1 cm:
Therefore, the lengths of the rectangle's sides are:
(cm)
Apply the above formula to calculate the area of the rectangle that was formed from the square in the way described in the problem:
(sq cm)
Continue to simplify the expression that we obtained for the rectangle's area, using the distributive property:
Therefore, applying the distributive property, we obtain the following area for the rectangle:
(sq cm)
The correct answer is answer B.