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. henry’s design would result in a larger flower bed because its area would be 2,500 square feet.
b. liani’s design would result in a larger flower bed because its area would be 2,500 square feet.
c. henry’s and liani’s designs would result in flower beds with the same area. d. henry’s and liani’s designs are not possible with the given amount of wood.

A. Henry’s design would result in a larger flower bed because its area would be 2,500 square feet.

Step-by-step explanation:

Since, the perimeter of the wood = 200 feet,

If the square that is formed by Henry having the side x,

Then 4 x = 200

x = 50

Hence, the square made by Henry having the side = 50 feet,

Thus, the area of this square = 50 × 50 = 2500 square feet,

Again, Liani makes a rectangle with dimensions of 55 feet and 45 feet.

Area of this rectangle = 55 × 45 = 2475 square feet,

Since, 2500 > 2475

Hence, the square made by Henry by the wood is larger than the rectangle made by Liani.

⇒ Option A is correct.