A rectangle has an area of 12 square centimeters and a perimeter of 16 centimeters. Which of the following could be its dimensions? 2 cm and 6 cm 3 cm and 4 cm 1.5 cm and 8 cm 1 cm and 12 cm
Accepted Solution
A:
Answer: 2 cm and 6 cm Step-by-step explanation:The product of the dimensions must be 12 cm². (All answer choices meet that requirement.)Opposite sides of a rectangle are the same length, so the sum of the two dimensions must be half the perimeter, 8 cm. The sums of the answer choices are ...8 cm7 cm9.5 cm13 cmOnly the first answer choice meets the requirement for a perimeter of 16 cm. The dimensions could be 2 cm and 6 cm.