Enter your answer and show all the steps that you use to solve this problem in the space provided.
An image of a rocket is shown. The rocket is made up of a triangle, a rectangle, and a trapezoid. The triangle at the top of the rocket has a base of length 3 inches and a height of 4 inches. The rectangle in the middle of the rocket has a height of 10 inches and a length of 3 inches. The trapezoid at the bottom of the rocket has one base of length 3 inches at the top, another base of length 5 inches at the bottom, and a height of 2 inches.
Use familiar figures to find the area of the figure shown. Show all work.
I think that the area is 44, because the triangles area is 6, the rectangle is 30, the trapezoid is 8.
Can someone check my work and say if I'm correct, and If not, please correct my error.
~Panda~
44 is correct
To find the area of the figure shown, we need to find the areas of the individual shapes that make up the rocket (triangle, rectangle, and trapezoid), and then add them together.
1. Triangle:
The area of a triangle is given by the formula: (base * height) / 2.
In this case, the base of the triangle is 3 inches and the height is 4 inches.
So, the area of the triangle is (3 * 4) / 2 = 6 square inches.
2. Rectangle:
The area of a rectangle is given by the formula: length * width.
In this case, the length of the rectangle is 3 inches and the width is 10 inches.
So, the area of the rectangle is 3 * 10 = 30 square inches.
3. Trapezoid:
The area of a trapezoid is given by the formula: ((base1 + base2) * height) / 2.
In this case, one base of the trapezoid is 3 inches, the other base is 5 inches, and the height is 2 inches.
So, the area of the trapezoid is ((3 + 5) * 2) / 2 = (8 * 2) / 2 = 8 square inches.
Now, we can add the areas of the triangle, rectangle, and trapezoid together to find the total area of the figure.
Total area = triangle area + rectangle area + trapezoid area
Total area = 6 square inches + 30 square inches + 8 square inches
Total area = 44 square inches.
Therefore, the area of the figure shown is 44 square inches.
To find the area of the figure shown, we need to find the areas of the triangle, the rectangle, and the trapezoid, and then add them together.
Step 1: Calculate the area of the triangle.
The formula to find the area of a triangle is (base * height) / 2.
In this case, the base of the triangle is 3 inches and the height is 4 inches.
So, the area of the triangle is (3 * 4) / 2 = 6 square inches.
Step 2: Calculate the area of the rectangle.
The formula to find the area of a rectangle is length * width.
In this case, the length of the rectangle is 3 inches and the width is 10 inches.
So, the area of the rectangle is 3 * 10 = 30 square inches.
Step 3: Calculate the area of the trapezoid.
The formula to find the area of a trapezoid is ((base1 + base2) * height) / 2.
In this case, base1 is 3 inches, base2 is 5 inches, and the height is 2 inches.
So, the area of the trapezoid is ((3 + 5) * 2) / 2 = 8 square inches.
Step 4: Add the areas of the triangle, rectangle, and trapezoid together.
6 + 30 + 8 = 44 square inches.
Therefore, the area of the figure shown is 44 square inches.