Answer:
A) The expressions for the Perimeter of the garden =
Perimeter = (x + 12)ft + (x +12)ft + (x + 8)ft + (x + 8)ft
Perimeter = 4x + 40 ft
B) The expressions for the Area of the garden =
Area = (x + 12)ft + (x + 8)ft
Area = (x² + 20x + 96)ft²
Step-by-step explanation:
A garden is 12 feet long by 8 feet wide. The length and width of the garden will each be increased by the same number of feet.
The expressions below represent the new length and width of the larger garden Length = (x + 12) ft; width = (x + 8)
A) Perimeter of the Garden
Let us assume that the Garden is rectangular
The formula for Perimeter of the Garden = 2L + 2W
Length = (x + 12)ft
Width = (x + 8)ft
Perimeter = 2(x + 12) ft + 2(x + 8)ft
Perimeter = (x + 12)ft + (x +12)ft + (x + 8)ft + (x + 8)ft
Perimeter = (2x +24 + 2x + 16)ft
Perimeter = (2x + 2x + 24 + 16)ft
Perimeter = 4x + 40 ft
B) The Area of the Garden
The formula for Area of the Garden = L × W
Length = (x + 12)ft
Width = (x + 8)ft
Area = (x + 12)ft + (x + 8)ft
Area = (x² + 8x + 12x + 96)ft²
Area = (x² + 20x + 96)ft²
