Question

Which choice demonstrates both the perimeter and the area of the rectangle shown in the accompanying diagram?

A
Perimeter = 4x + 4 and Area = (x + 6)(x - 4)

B
Area = 4x + 4 and Perimeter = (x + 6)(x - 4)

C
Perimeter = 2x + 2 and Area = x2 – 24

D
Area = 2x + 2 and Perimeter = x2 – 24

Answer 1

we know that
[perimeter of rectangle]=2*[(x+6)+(x-4)]----> 2*[2x+2]----> 4x+4

[area of rectangle]=(x+6)*(x-4)--------> x²-4x+6x-24--------> x²+2x-24

the answer is the option A
Perimeter = 4x + 4 and Area = (x + 6)(x - 4)