Find The Area of the composite figure
The shape has 5 sides with 3 right angles. The upper side has 14 inches; the left side has 12 inches, the base has 20 inches, and the right side has 10 inches
A. 120 in. squared
B. 234 in. squared
C. 228 in. squared *
D. 240 in. squared
I'm seriously confused, I just went with a wild guess
oobleck can suck a pp
mrs chung is a jiskha-bob
and before you ask, no I can't send a picture, mainly because I can't find one
The answer is 120 squared
To find the area of the composite figure, we can break it down into smaller shapes and then add up their areas. In this case, we can see that the shape consists of a rectangle and a triangle.
First, let's find the area of the rectangle. The rectangle has a length of 20 inches (the base) and a height of 12 inches. To find the area of a rectangle, we multiply the length by the height. So, the area of the rectangle is 20 inches * 12 inches = 240 square inches.
Next, let's find the area of the triangle. The triangle is formed by the upper side, the right side, and the base of the rectangle. The upper side of the rectangle is 14 inches, and the right side is 10 inches. The base of the triangle is the same as the base of the rectangle, which is 20 inches.
To find the area of a triangle, we can use the formula: Area = (base * height) / 2. In this case, the base is 20 inches, and the height is the perpendicular distance from the base to the upper side of the rectangle.
To find the height, we can use the Pythagorean theorem, since we know that the triangle has a right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In our case, the base of the triangle (20 inches) is one of the sides, and the upper side (14 inches) is the other side. Let's call the height of the triangle "h". Using the Pythagorean theorem, we have:
h^2 = 20^2 - 14^2
h^2 = 400 - 196
h^2 = 204
h ≈ 14.28 inches (rounded to two decimal places)
Now, we can calculate the area of the triangle:
Area = (base * height) / 2
Area = (20 inches * 14.28 inches) / 2
Area ≈ 142.8 square inches (rounded to one decimal place)
Finally, to find the area of the composite figure, we add the area of the rectangle and the area of the triangle:
Total Area = Area of rectangle + Area of triangle
Total Area = 240 square inches + 142.8 square inches
Total Area ≈ 382.8 square inches (rounded to one decimal place)
None of the given answer options match this result, so there may be an error in the given values or answer choices. Please double-check the given information or consult a teacher or instructor for further clarification.
You have described 4 sides: upper, left, base, right.
If the shape is a pentagon, it has 5 sides. If it looks like a house, it has a rectangular base, and a "roof" of two sloping sides.
So, just saying, the 4 sides you have named, it is unclear what "upper" means. Maybe you can figure out how to describe it better, but as it stands, I don't know how to divide it into a rectangle and a triangle.
If you do, then just recall how to find the area of a rectangle and a triangle, and go for it!