Question

The perimeter and area of this rectangle are equal. What is the value.A. 9B. 12C. 18D. None of the above

Answer 1

Area: Width x lenght

Perimeter = 2 width + 2 lenght

Replacing with the values given:

Area = 6x

Perimeter = 2(6)+2x

Since both perimeter and area are equal:

6x = 2(6)+2x

Solve for x:

6x = 12 + 2x

6x-2x =12

4x= 12

x= 12/4

x= 3

Replace x in the equations:

Area = 6x = 6 (3)= 18

Perimeter = 2(6)+2x = 12+2(3) = 12+6 =18

Correct option:

C.18