Question

The width of a rectangle is 12 units. Can the perimeter x of the rectangle can be 60 units when its length y is 18 units?

No, the rectangle cannot have x = 60 and y = 18 because x + y is less than 60.

No, the rectangle cannot have x = 60 and y = 18 because x + y is less than 24.

Yes, the rectangle can have x = 60 and y = 18 because x = 12 + 2y.

Yes, the rectangle can have x = 60 and y = 18 because x = 24 + 2y.

Answer 1

Perimeter of rectangle formula is : P = 2L + 2W...however, they have x as the perimeter and y(the length) as 18....so your equation using these letters is :
X = 2y + 2W

so we have :
X = (perimeter)
y (length) = 18
W (width) = 12

so lets sub and find X (the perimeter)..
X = 2y + 2W
X = 2(18) + 2(12)
X = 36 + 24
X = 60

yes..the rectangle can have X = 60 and y = 18 because X = 24 + 2y
check..
X = 24 + 2y
60 = 24 + 2(18)
60 = 24 + 36
60 = 60 (correct)

Answer 2

The answer would be D