Answer:
The value of x is 12 feet
Step-by-step explanation:
The shape in question is a composite shape. We can see that x is both the base of the triangle and the breadth of the rectangle.
To get the area of the shape, we will have to add the area of the rectangle to the area of the triangle.
Area of rectangle = length X breadth
Area of triangle = 1/2 base X height.
However, to calculate the area of the triangle, we need to find its height first.
The next step is to get the height of the triangle. Observing the shape properly, we can see that we can get the height by subtracting the length of the rectangle from the overall length of the shape.
Height of triangle = 16 ft - 10 ft = 6 ft
recall area = 156 square feet.
We now have most of our missing dimensions
We can now set up an equation as follows:
Therefore the value of x is 12 feet
Answer: Choice B)
We have some value m and we're squaring it to get
To undo this and isolate m, we apply the square root to both sides
There are two solutions here. This is similar to how there are two solutions in something like (those two solutions being x = 5 and x = -5). Squaring any negative number leads to a positive result because
negative times negative = positive.
The answer is:
The area is equal to 113.04 units.
<h2>Why?</h2>To find the area of the circle, we need to use the given information about the radius (6).
So, the area of a circle is given by the following formula:
Where,
Substituting the given radius, we have:
Have a nice day!