A rectangle and a square have the same perimeter of 600 mm. The length of the rectangle is 50 mm.

A rectangle and a square have the same perimeter of 600 mm. The length of the rectangle is 50 mm. Which shape has more area.

Brief record of the problem: the perimeters of the rectangle and square are 600 mm (60 cm), the length of the rectangle is 50 mm (5 cm), compare the areas of the figures. 1. Determine the length of the side of the square: 60: 4 = 15 cm. 2. The area of the square: 15 · 15 = 225 cm ^ 2. 3. Calculate the width of the rectangle: (5 + x) · 2 = 60.5 + x = 60: 2.5 + x = 30, x = 30 – 5, x = 25 cm. 4. Area of the rectangle: 5 · 25 = 125 cm ^ 2 <225 cm ^ 2. Answer: a square has a larger area than a rectangle.