To answer this question, you need to know that a scale factor is the relationship between one dimension of the shape.
Because the information given to us is a two-dimensional measurement, you will need to consider that when getting the answer.
The ratios of the areas of the triangles is 3/5 x 3/5 or 9/25.
To determine the area of the larger triangle, you will solve the following equation using the information you know. x is the area of the larger triangle.
9/25x = 576; solve for x by dividing both sides by 9/25 x = 1600 square inches
The area of the larger triangle is 1600 square inches.
9.75 x 7.2 = 70.2 Swimming Pool Area: 70.2 The Park Area: 70.2 x 1.5 = 105.3 Total Area of both Swimming Pool & Park area: 70.2 + 105.3 = 175.5 Final Answer: 175.5
