The sum of the length l and the width w of a rectangular region is 240 meters. Find the dimensions that produce the greatest area.
A) $l = 110 , w = 130$
B) $l = 125 ; \quad w = 115$
C) $l = 135 ; w = 105$
D) $l = 120 , \quad w = 120$
E) $l = 115 ; \quad w = 130$

Question

Quizplus · Accepted Answer

The greatest area for a rectangle with a fixed perimeter is achieved when the rectangle is a square, meaning the length and width are equal. Given the sum of length and width is 240 meters, dividing this equally gives $l = w = 120$ meters.

The Sum of the Length L and the Width W l=110,w=130l = 110 , w = 130l=110,w=130

The Sum of the Length L and the Width W $l = 110 , w = 130$