Find the lateral area. (excluding the 6 x 9 bases)
4 cm
9 cm
6 cm

9514 1404 393

  A. x² -4

  B. 2x² +8

Step-by-step explanation:

The area of a square is the square of the side lengths. That means the area of each large square is x², since it has a side length of x.

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A. The area of 4 small squares is subtracted from the area of the large square to find the shaded area:

  x² -4×1² = x² -4 . . . area of Figure A

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B. The area of two small squares is added to the area of two large squares to find the shaded area:

  2x² +2×2² = 2x² +8 . . . area of Figure B