Answer:
all sides are 16 ft
Step-by-step explanation:
If the side length is x, the area is x²=256, hence x = √256 = 16
The length and width of a rectangular field fully enclosed with 218 metes fencing are 63 meters and 46 meters respectively.
The perimeter of a rectangle is the sum of the whole four sides. Therefore, the perimeter of a rectangle is defined as follows:
where
l = length
w = width
perimeter = 218 meters
The length of the field is 17 meters longer than the width, w. Therefore, the length is defined as follows:
The length and the width can be calculated as follows:
218 = 2(l + w)
218 = 2(17 + w + w)
218 = 34 + 4w
218 - 34 = 4w
184 = 4w
divide both sides by 4
w = 184 / 4
w = 46 meters
length = 17 + 46
length = 63 meters
learn more on rectangle here: brainly.com/question/15989799?referrer=searchResul
Answer: Sin0 = 8/8.5
Step-by-step explanation: What we have is a right angled triangle, with two sides given and one angle which is the reference angle (unknown angle).
The Sine of the angle is calculated as
Sin0 = opposite/hypotenuse
We have the opposite side (facing the reference angle) as 8 units and the hypotenuse (facing the right angle unknown), which we shall label as X.
To calculate the hypotenuse, we shall apply the Pythagoras theorem which is,
X² = 3² + 8²
X² = 9 + 64
X² = 73
Adding the square root sign to both sides of the equation, we now have
X = √73
X = 8.5 (approximately)
Now that we have the hypotenuse as 8.5, the Sine of the angle can now be calculated as
Sin0 = opposite/hypotenuse
Sin0 = 8/8.5
