Answer:
1)
A)
We must use the formula b x h/2 12 x 8/2 = 48
A=48
B)
We must use the formula 1/2a root c squared - a squared
Solving and substituing will get you 35.78
2)
A)
We must divide 81 by 2 to get 9. Since this is a square, all sides will be 9. Then, we must add 9 four times to get 36 cm as our perimeter
B) If we draw the square with a diagonal line, we can understand that the diagonal line (hypotenus) is s root 2.
3) The formula for this area of a triangle is h x b/2. We must substitute the numbers to get our answer:
h x b /2 = 10 x 20/2 = 200/2 = 100
AREA IS 100cm squared
Step-by-step explanation:
Cos(x) = sin(90 - x)
cos(53) = sin(90 - 53)
cos(53) = sin(37)
Answer:
20ft²
Step-by-step explanation:
Let the length = L
Let the width = W
Perimeter of a rectangle = 2L + 2W
Translating the word problem into an algebraic equation, we have;
L = 5W .......equation 1
2L + 2W = 24 ........equation 2
To find the width
Substituting equation 1 into equation 2, we have;
2(5W) + 2W = 24
10W + 2W = 24
12W = 24
W = 24/12
Width, W = 2 ft
To find the length;
Substituting the value of "W" into equation 1, we have;
L = 5W
L = 5*2
L = 10 ft
To find the area of the rectangle;
Area = LW
Area = 10*2
<em>Area = 20 ft²</em>
Therefore, the deck's area is 20 feet square.