Find the area of the trapezoid by composition of rectangle and triangles. A) 30 units2 B) 38 units2 C) 42 units2 D) 54 units2
1 answer:
Answer:
Option C is correct.
The total area of the trapezoid = 42 units²
Step-by-step explanation:
After a little research online, the image missing from the question was obtained and is attached to the solution of this question.
In the trapezoid given, there are two triangles and a rectangle.
Area of rectangle = length × breadth
Length = 6 units
Breadth = 5 units
Area of the rectangle = 6 × 5 = 30 units²
Area of a triangle = ½ × Base × Height
Base = 2 units
Height = 6 units
Area of each of the exactly similar triangles = (1/2) × 2 × 6 = 6 units²
Area of the two similar triangles = 2 × 6 = 12 units²
Total Area of the trapezoid = (Area of rectangle) + (Area of the two triangles)
= 30 + 12 = 42 units²
Hope this Helps!!!
You might be interested in
Answer:
The average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802
Step-by-step explanation:
We are given that
Standard deviation, ounces
We have to find the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag.
Assume the bag weight distribution is bell-shaped
Therefore,
We know that
Using the value of z
Now,
Hence, the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802
Answer:
280 ft squared
Step-by-step explanation:
To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.
The total area is that of a rectangle: 30 * 15 = 450 ft squared.
Now, the shaded region is made up of a rectangle and a triangle.
- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.
- The triangle has base 12 and height 15, so using the area of a triangle formula: (where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.
- The total shaded region is: 80 + 90 = 170 ft squared
Subtract 110 from 450: 450 - 170 = 280 ft squared.
Thus, the answer is 280 ft squared.
Hope this helps!