the ratio of the length and the width of a rectangle is 2:5. If the rectangle has a perimeter of 98 inches, what is the area of the rectangle?

Respuesta :

The sum of length and width is (98 in)/2 = 49 in.
The length is 2/(2+5) times the sum of length and width, so is 2/7*49 in = 14 in.
The width is 5/7*49 in = 35 in.

The area of the rectangle is (14 in)*(35 in) = 490 in².