The perimeter of a rectangle is equal to 280 meters. The ratio of its length to its width is 5:2. Find the area of the rectangle.  Options.
A) 400 square meters
B) 4000 square meters
C) 20 square meters
D) 2000 square meters
E) 1000 square meters

Rationale: solution if the ratio of the length to the width is 5 : 2 , then the measure l of the length and and the measure w of the with can be written as l = 5 x and w = 2 x we now use the perimeter to write 280 = 2 ( 2 l + 2 w ) = 2 ( 5 x + 2 x ) = 14 x solve for x 280 = 14 x x = 280 / 14 = 20 the area a of the rectangle is given by a = l × w = 5 x × 2 x = 10 x ^ 2 = 10 × 20 ^ 2 = 4000 square meters answer is b
Answer: B