Answer:
A. 48
Step-by-step explanation:
The ratio of the area of rectangle ABCD to rectangle EFGH = the square of the ratio of the corresponding linear measurements of both shapes
Thus:
Area of ABCD/Area of EFGH = AB²/EF²
Area of ABCD = L*W = 18*24 = 432
Area of EFGH = 6*x = 6x
AB = 18
EF = 6
Therefore:
432/6x = 18²/6²
432/6x = 324/36
72/x = 9
Cross multiply
9x = 72
x = 72/9
x = 8
Area of EFGH = 6x
Plug in the value of x
Area of EFGH = 6(8) = 48
