sat-dog

Choice D is correct. The area of a rectangle is given by bh, where b is the length of the base of the rectangle and h is its height. Let x represent the length, in units, of the base of rectangle ABCD, and let y represent its height, in units. Substituting x for b and y for h in the formula bh yields xy. Therefore, the area, in square units, of ABCD can be represented by the expression xy. It’s given that the length of each side of EFGH is 6 times the length of the corresponding side of ABCD. Therefore, the length, in units, of the base of EFGH can be represented by the expression 6x, and its height, in units, can be represented by the expression 6y. Substituting 6x for b and 6y for h in the formula bh yields 36 ^6xh^6yh, which is equivalent to xy. Therefore, the area, in square units, of 36 EFGH can be represented by the expression xy. It’s given that the area of 54 ABCD is square units. Since xy represents the area, in square units, of ABCD, 54 36 36 54 1,944 substituting for xy in the expression xy yields ^ h, or . Therefore, 1,944 the area, in square units, of EFGH is . Choice A is incorrect. This is the area of a rectangle where the length of each side 1 of the rectangle is 6, not 6, times the length of the corresponding side of ABCD. Choice B is incorrect. This is the area of a rectangle where the length of each side 2 of the rectangle is 3, not 6, times the length of the corresponding side of ABCD. Choice C is incorrect. This is the area of a rectangle where the length of each side of the rectangle is 6, not 6, times the length of the corresponding side of ABCD.