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Answer:
12 m²
Step-by-step explanation:
Area of the floor:
area = length * width
area = 4 m * 5 m
area = 20 m²
area of carpet = 60% of area of the floor
area of carpet = 0.6 * 20 m²
area of carpet = 12 m²
Based on the calculations, the scale factor for this dilation is equal to 1/3.
<h3>How to determine the scale factor for this dilation?</h3>
First of all, we would use the distance formula to find the length of side QR and Q'R' as follows:
Distance = √[(x₂ - x₁)² - (y₂ - y₁)²]
Substituting the given points into the formula, we have;
Distance QR = √[(5 - (-1))² + (0 - 0)²]
Distance QR = √[(5 + 1)² + (0)²]
Distance QR = √[6² + 0]
Distance QR = √36
Distance QR = 6 units.
For side Q'R', we have:
Distance Q'R' = √[(1 - (-1))² + (2 - 2)²]
Distance Q'R' = √[(1 + 1)² + (0)²]
Distance Q'R' = √[2² + 0]
Distance Q'R' = √4
Distance Q'R' = 2 units.
Now, the scale factor for this dilation is given by:
Scale factor = Q'R'/QR
Scale factor = 2/6
Scale factor = 1/3.
Read more on scale factor here: brainly.com/question/17079307
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To find the slope of a line given the coordinates of two points, you should use the formula, Slope=y2-y1/x2-x1.
To find the slope of a line which contains the coordinates (8,-3) and (-2,7), you should substitute them into the previous mention formula.
Slope=y2-y1/x2-x1
Slope=(7--3)/(-2-8)
Slope=(10)/(-10)
Slope=-1
The slope of the line which contains the coordinates (8,-3) and (-2,7) is -1 or in other words letter A from the given choices.
34
16^2 = 256
30^2 = 900
900+256 = 1156
square root of 1156 = 34
