The missing diagram is shown below. Remember that shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. So this means you can make the object bigger or smaller. So in this case, we know that ΔABC is similar to ΔDEF. If so, we can establish the following proportion:
Our goal is to find x. So by Pythagorean theorem:
Conclusion:
<em>ΔABC ~ΔDEF</em>
<em>Distance across the river is 25.34m </em>
Answer:
The width of the walkway is 4 feet.
Step-by-step explanation:
The garden and a walkway around its perimeter have an area of 460 square feet.
The length of the garden = 15 feet
The width of the garden = 12 feet
Assuming that walkway is of uniform width, we can solve the following equation.
Expanding this we get;
We will solve this using quadratic equation formula:
Here a = 4 , b = 54 , c = -280
We get the roots as x = 4 and x =
Neglecting the negative value, we will take x = 4 feet.
Hence, the width of the walkway is 4 feet.