Answer:
Area = 8x² - 14x + 5
Perimeter = 12x - 12
Step-by-step explanation:
The area of the rectangle can be calculated as the base times the height, so the area is equal to:
Area = Base · Height
Area = (4x - 5)·(2x - 1)
So, applying the distributive property, we get:
Area = 4x(2x) + 4x(-1) - 5(2x) - 5(-1)
Area = 8x² - 4x - 10x + 5
Area = 8x² - 14x + 5
On the other hand, the perimeter is equal to:
Perimeter = 2(Base) + 2(Height)
Perimeter = 2(4x - 5) +2(2x - 1)
Perimeter = 2(4x) - 2(5) + 2(2x) - 2(1)
Perimeter = 8x - 10 + 4x - 2
Perimeter = 12x - 12
Then, the answers are:
Area = 8x² - 14x + 5
Perimeter = 12x - 12