Question

A rectangle has an area of 12 square centimeters and a perimeter of 16 centimeters. which of the following couldd be its dimensions?

a. 2 cm and 6 cm
b. 3 cm and 8 cm
c. 1.5 cm and 8 cm
d. 1 cm and 12 cm

Answer 1

A. 2 cm and 6 cm 6*2=12 (area)

2+2+6+6=16

Answer 2

a 2 cm and 6 cm

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 cm

7 cm

9.5 cm

13 cm

Only the first answer choice meets the requirement for a perimeter of 16 cm. The dimensions could be 2 cm and 6 cm.