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题库 / OG2017Q-DS-178
A framed picture is shown above. The frame, shown shaded, is 6 inches wide and forms a border of uniform width around the picture. What are the dimensions of the viewable portion of the picture?
(1) The area of the shaded region is 24 square inches.
(2) The frame is 8 inches tall.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
题目分析：
设中间部分的宽为x，长为y，因此，阴影部分的宽d=(6-x)/2，因此，本题中要求得中间部分的的面积，必然要求得x和y的值，或者x*y的值，需要两个方程才能满足要求。
（1）对于条件1，阴影部分的面积为24，即6*(y+2d)-x*y=24。
（2）对于条件2，y+2d=y+6-x=8。
综合条件1和条件2，将y+2d代入条件1，即6*8-x*y=24，x*y=24，即中间空白区域的面积为24。
综上所述，答案为（C），两个条件结合才能解题。
If you talk about the dimensions of an object or place, you are referring to its size and proportions. ----Collins Dictionary
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