Question

a rectangle has a perimeter of 60 feet. Which dimensions will give this rectangle the largest possible area.

A. 12 ft by 18 ft

B. 20 ft by 10 ft

C. 15 ft by 30 ft or

D. 30 ft by 30 ft

please help me with this

Answer 1

C and D have a perimeter greater than 60 feet.

A and B have a perimeter of 60 feet because the sum of length and width is a semiperimeter=30 feet.

Area A=12×18=216 square feet; area B=20×10=200 square feet. So A has the larger area.

A square with a perimeter of 60 feet has sides of 15 feet and has the largest area 15²=225 square feet.