Question

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? Henry's design would result in a larger flower bed because its area would be 2,500 square feet. Liani's design would result in a larger flower bed because its area would be 2,500 square feet. Henry's and Liani's designs would result in flower beds with the same area. Henry's and Liani's designs are not possible with the given amount of wood.

Answer 1

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

Step-by-step explanation: magic

Answer 2

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

Explanation:

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.

Length of wood = 200 feet

Henry's square bed design = 200 feet / 4

= 50 feet

Note: A square has 4 equal sides, hence, the division by 4

Each side of the square bed = 50 feet

Area of the square bed = length ²

= (50 feet)²

= 2,500 square feet

Liani rectangular bed design

Length = 55 feet

Width = 45 feet

Note: adding of 2 length and 2 width = 200 feet

That is,

2(55) + 2(45)

= 110 + 90

= 200 feet of wood

Area of Liani rectangular bed design = length × width

= 55 feet × 45 feet

= 2,475 square feet

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