Henry and Liani have 200 feet of wood to frame a flower bed. Henry wants the bed to be a square, while Liani wants it to be a rectangle with dimensions of 55 feet and 45 feet.Which statement is true regarding the areas of the two flower beds?

A square with 200 feet of fencing has sides of 200 ÷ 4 = 50 feet, so Henry’s bed would have an area of 50 × 50 = 2,500 square feet. Liani’s rectangle uses 2 × (55 + 45) = 200 feet of fencing and has an area of 55 × 45 = 2,475 square feet. Henry’s design is larger, so choice A is correct.

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