What is the largest possible area for a rectangle with a perimeter of 40 cm? A) 400 cm² B) 100 cm² C) 90 cm² D) 130 cm² E) 150 cm²

Question

Quizplus · Accepted Answer

The largest area for a rectangle given a fixed perimeter is achieved when the rectangle is a square. The perimeter of a rectangle is given by 2(l + w) = 40, where l is the length and w is the width. For a square, l = w, so 4l = 40, leading to l = 10. Therefore, the area is l^2 = 10^2 = 100 cm^2.

What Is the Largest Possible Area for a Rectangle with a Perimeter