Answer:
the area of the space he can cover with carpet = 16x⁴ yards²
Explanation:
The shape of the square is not shown in this question.
Let assume that the base of the shape of the square is 2x² yards.
and Manny has four of that.
Then side we known the base, we can calculate for the area of the square.
Area of a square = l²
Area of a square = (2x² yards)²
Area of a square = 4x⁴ yards²
However, since Manny has four pieces of that carpet and wants to use them together to carpet a portion of his basement.
Let the pieces of the carpet be carpet A, B, C and D
where; their side is 2x² yards, then their area = 4x⁴ yards²
the area of the space he can cover with carpet = A+B+C+D
the area of the space he can cover with carpet = 4x⁴ yards² + 4x⁴ yards² + 4x⁴ yards² + 4x⁴ yards²
the area of the space he can cover with carpet = 16x⁴ yards²