Using 27 blue patches and some white patches to make a quilt.The quil has a total area 540 Square inches. Each patch has an area of 5 Square inches .How much how much of the area of the quilt is white

number of white patches ---- x

5x + 5(27) = 540

solve for 5x , the area of the white patches

To find out how much of the area of the quilt is white, we first need to determine the total area covered by the blue patches.

The total area covered by the blue patches can be calculated by multiplying the number of blue patches by the area of each patch. In this case, there are 27 blue patches and each patch has an area of 5 square inches.
Total area covered by blue patches = 27 patches * 5 square inches/patch = 135 square inches

Since the total area of the quilt is 540 square inches, and the area covered by the blue patches is 135 square inches, the remaining area must be the white patches.
Area covered by white patches = Total area of the quilt - Area covered by blue patches
Area covered by white patches = 540 square inches - 135 square inches = 405 square inches

Therefore, 405 square inches of the quilt is covered by white patches.