Find the area of the figure.
figure
The left side is labeled 24 feet.
The upper horizontal side is labeled 40 feet.
The right side is labeled 18 feet.
A 30 foot horizontal segment extends left from the bottom of the 18 foot side.
A short line segment extends downward from the left end of the 30 foot side.
A short line segment extends left to the 24 foot side.
A. 960 ft2
B.
1,680 ft2
C. 780 ft2
D. 720 ft2
24 / 47
B. 1,680 ft2
There was no question asked.
How can the robot give an answer what does it represent ??
If it is all right angles we have 24 *40 - 6 * 30
= 960 - 180 = 780
so once again I disagree with the robnot
To find the area of the figure, we need to determine the shape of the figure and break it down into simpler shapes whose areas we can calculate.
Based on the given information, it seems like the figure is a trapezoid. A trapezoid has two parallel sides and two non-parallel sides. In this case, the two parallel sides are the left side labeled 24 feet and the upper horizontal side labeled 40 feet.
To find the area of a trapezoid, we use the formula:
Area = (1/2) × (base1 + base2) × height
In this case, the two bases are the lengths of the parallel sides, which are 24 feet and 40 feet. The height is the distance between the two parallel sides.
To find the height of the trapezoid, we need to calculate the length of the vertical segment that extends downward from the left end of the 30-foot side and the length of the horizontal line segment that extends left to the 24-foot side.
To calculate the length of the vertical segment, we subtract the length of the 30-foot horizontal segment from the height of the trapezoid, which is the difference between the upper horizontal side (40 feet) and the length of the downward segment (unknown). We can set up an equation as follows:
40 feet - (30 feet + length of downward segment) = height of trapezoid
Simplifying the equation, we get:
40 feet - 30 feet - length of downward segment = height of trapezoid
10 feet - length of downward segment = height of trapezoid
To find the length of the horizontal segment, we subtract the length of the 30-foot horizontal segment from the length of the 18-foot side. Using a similar approach as before, we can set up the following equation:
18 feet - 30 feet = length of horizontal segment
Simplifying the equation, we get:
-12 feet = length of horizontal segment
Since the length is negative, we can consider it as -(-12) feet, which means the length of the horizontal segment is 12 feet.
Now, we can substitute the values we found into the area formula:
Area = (1/2) × (24 feet + 40 feet) × (10 feet - length of downward segment)
Area = (1/2) × (64 feet) × (10 feet - length of downward segment)
To proceed further and find the exact area, we need to know the length of the downward segment. The information provided in the question does not specify the length of this segment, so we are unable to calculate the exact area.
Without knowing the length of the downward segment, we cannot determine the precise area of the figure. The given options do not help us either as they only provide areas without specifying the specific length of the downward segment. Therefore, the correct answer cannot be determined given the available information.