Davis used a drawing and a scale factor of 4 to design his triangular yard. The area of the yard is 400 ft². He wants to find the area of the scale drawing. A smaller triangle has an area of x. A larger triangle has an area of 400 feet squared.

Davis knows that the original area times the square of the scale factor will equal the enlarged area. What is the area of the scale drawing?

(Scale drawing)(Scale factor)2 = Enlarged Area

(x)(4)2 = 400

16x = 400