Answer:
Area = 20 units²
Step-by-step explanation:
<em>Let A(-8,-2), B(-3,-2), C(-3,-6) and D(-8,-6) so that the rectangle becomes ABCD.</em>
=> <u><em>Since it's a rectangle it will have two opposite sides equal.</em></u>
<em>So, let's find the length of any two sides (as length and width) by Distance Formula.</em>
Distance Formula = 
<u><em>Side AB:</em></u>
|AB| = 
|AB| = 
|AB| = 5
<u><em>Side BC:</em></u>
|BC| = 
|BC| = 
|BC| = 4
<u><em>Now, Area:</em></u>
Area of the rectangle = Length * Width
Area = 4 * 5
Area = 20 units²
9514 1404 393
Answer:
3 -2√2
Step-by-step explanation:
For a regular octagon of side length s, the "flat-to-flat" dimension across the center is s(1+√2). The flat-to-flat dimension of the shaded center octagon is simply s. The ratio of areas is the square of the ratio of linear dimensions, so we have ...
small area / large area = (1/(1+√2))^2 = 1/(3+2√2)
small area/large area = 3 -2√2
_____
The attachment shows octagons after the fashion described here. The side length of the larger one is 2 units. The numbers inside are the areas. They have the ratio shown above.
Hello there!
4 pencils . 4/9 of an hour = 4/9 of 60 minutes = 4/9 * 60 = 80/3 minutes
x pencils = ? . one hour = 60 minutes14 * 60 = 80/3 * x /*3
14 * 60 * 3 = 80 * x
80 * x = 2520 /80
x = 2520 / 80
x = 31.5 pencilsThe result would be 32 pencils in one hour.
Hope I helped!
Answer:
14 ft
Step-by-step explanation:
Let x represent the number of segments of the divided wood beam
Let y represent the total length of the wood beam.
Given that each segment measures 3.5, the equation to express this scenario is given as
y = 3.5x
Thus, to find the length of the wood beam, substitute x = 4 into the equation.
We would have:
y = 3.5(4)
y = 14
Length of the wood beam = 14 ft