The rectangular rug shown in the figure above has an accent border. What is the area of the portion of the...

[AAPL]

Official Guide

The rectangular rug shown in the figure above has an accent border. What is the area of the portion of the rug that excludes the border?

1) The perimeter of the rug is 44 feet.
2) The width of the border on all sides is 1 foot.

OA E

[k_rohit]

Correct answer should be E.

Let us take the dimensions for rug as x and y

Statement-01 : perimeter x + y = 44 ; no information about the sides and width of border, so area of rug excluding the border cannot be determined

Statement-02 : area of rug excluding border = (x-2)*(y-2) ; no information about sides of the rug, so area cannot be determined

taking both statements-01 & 02 together, area = (x-2)*(y-2)
this can be any value such as (24-2)*(20-2) =396 Sq Unit for x=24 & y = 20
or area can be (18-2)(26-2) = 384 Sq Unit for x = 18 & y = 26
Therefore not sufficient when taken together