Question

A rectangle has an area of 15 square centimeters.

Which of the following could be the rectangle's length and width (Area = length x width)?

a) 1 cm and 15 cm
b) 2 cm and 7 cm
c) 4 cm and 4 cm
d) 3 cm and 5 cm

Answer 1

The possible length and width of the rectangle with an area of 15 square centimeters are 1 cm and 15 cm and 3 cm and 5 cm.

Step-by-step explanation:

The area of a rectangle is equal to its length times its width. To find the possible length and width of a rectangle with an area of 15 square centimeters, we need to determine which pairs of numbers when multiplied together equal 15.

a) 1 cm and 15 cm: 1 cm x 15 cm = 15 square cm

b) 2 cm and 7 cm: 2 cm x 7 cm = 14 square cm

c) 4 cm and 4 cm: 4 cm x 4 cm = 16 square cm

d) 3 cm and 5 cm: 3 cm x 5 cm = 15 square cm

Therefore, the rectangles that could have an area of 15 square centimeters are a) 1 cm and 15 cm and d) 3 cm and 5 cm.