Maria wants to draw a painting with an area of 40 square inches. If she drew her painting on 1-inch grid paper, how many squares would the painting cover?
Answer (3)
The area of a square is proportional to the square of its linear dimensions. If a square has a side length of 4 inches and a similar square has dimensions twice as large, the larger square's area will be four times greater than the smaller square's area.
If each square in the grid is 1 inch, each square has an area of 1cm^2
so the number of squares required is 40/1 = 40 squares.
Maria's painting has an area of 40 square inches. Since each square on the grid paper is 1 square inch, her painting will cover 40 squares. Thus, the answer is 40 squares.
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