Emily made a sketch of an octogonal window on a 27-inch square piece of paper. first she cut four identical isosceles triangles from the corners of the paper. then she cut a square from the center of the octagon. each leg of a cut off triangle in 1/3 the length of the paper. the dude length of the cut out square is also 1/3 the length of the paper. what’s the area of the sketch after she removed he triangles and the square?

the area of the piece of paper =   27- inch square.

so, the length of the square piece of paper = = .

the side of the triangle cut = =

also the side of the small square cut =

so, the area of each triangle cut = 1/2 * .

so, the area of 4 triangles cut =

area of a small square cut =

total area of 4 triangles cut and a small square cut = 6+3 = 9 square inches.

reaming area of the octagonal window   = 27 - 9 = 18 square inches.

answer: 20

step-by-step explanation: