<span>The answer is 20 feet by 20 feet. Let's solve the equation: (x – 8)^2 = 144. (x - 8)^2 = 12^2. Since a^2 = b^2 is the same as a = b, then (x - 8)^2 = 12^2 can be simplified to: x - 8 = 12. Now, solve for x. x = 8 + 12. x = 20. Therefore, the dimensions of the original lawn were 20 feet by 20 feet.</span>
Present value, P = 10000
interest rate, i = 5.4% continuous
Number of periods, n = 8 years
Future value
to the nearest cent
Both rates and ratios are a comparison of two numbers. A rate is a specific type of ratio. The difference is that a rate is a comparison of two numbers with different units, and a ratio compares two numbers with the same unit.
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.
