The figure has already been split into 3 shapes, a rectangle, a trapezium, and a triangle. I will show you how to get the area of each, so we can add it together at the end.
Rectangle:
The rectangle is fairly simple, just multiply 9 and 16 together to get 144 in².
Triangle:
Again, the triangle is pretty simple. The area of a triangle is (base × height)/2, so you do (31 × 20)/2 = 620/2 = 310 in².
Trapezium:
To find the area of a trapezium, you first add the two widths, which are 16 and 31, and then you divide it by 2. You then multiply that value by the height. 16 + 31 = 47, and 47 ÷ 2 = 23.5.
The height would be 35 (the total length of the shape) - 20 (the height of the triangle) which is 15, so 23.5 × 15 = 352.5 in².
Now we add them up, so 144 + 310 + 352.5 = 806.5 in², which is your final answer.
I hope this helps!
A)The quotient of three times some number and five
Answer:
20:14 = 10:7
Step-by-step explanation:
A week is equal to 7 days
2 weeks is equal to 2*7 = 14 days
Answer:
First we need to calculate the length of the base of the triangle.
So now that we know that the area of a triangle can be calculated by the formular A = hb/2, we can also calculate the length of the base as following:
A = hb/2
=> 270 = 15b/2
=> 15b = 270 . 2
=> 15b = 540
=> b = 540/15 = 36 (m)
Now we have the lengths of the shorter and the longer legs of the right triangle, we can use Pythagorean theorem to calculate the length of the hypotenuse: √(15² + 36²) = √(225 + 1296) = √1521 = 39 (m)
