14. In the figure shown below, CG = AE，and rectangle ABCD has a length of 6 inches and a width of 4 inches. The area of rectangle EFGD is 2 times the area of rectangle ABCD. What is the length, in inches, of CG ?

Answer and Explanation

Your Answer is

Correct Answer is F

Explanation

The length and width of the small rectangle are known, and the area of ​​the small rectangle can be obtained as 4×6=24. The area of ​​the large rectangle is twice as large as 48. Assuming that the length of CG is x, that is, the length of AE is also x, then the length and width of the large rectangle can be represented by 6+x and 4+x respectively. The area of ​​a large rectangle can be expressed as (6+x)(4+x)=48, and x=2 can be obtained by solving the equation.