Given the figures are similar, calculate the area of EFGH

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

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

answer: the first graph

step-by-step explanation: