Question

Which has the greater area: a 6 6‐centimeter by 4 1 2 412‐centimeter rectangle or a square with a side that measures 5 5 centimeters?

Answer 1

The square with side 5 centimeters have a greater area.

Corrected question;

Which has the greater area: a 6‐centimeter by 4.12‐centimeter rectangle or a square with a side that measures 5 centimeters?

Explanation:

The Area of a rectangle can be written as;

Area A = length × breadth

Given;

Length = 6 cm

Breadth = 4.12 cm

Substituting the values;

Area of rectangle = 6cm × 4.12cm = 24.72 cm^2

For the square;

Area of a square = length × length

Given;

Length = 5 cm

Substituting the values;

Area of the square = 5cm × 5cm = 25 cm^2

Since 25 cm^2 is greater than 24.72 cm^2

The square has a greater area.