Answer:
The number is 112
Step-by-step explanation:
Let the number be 'x'
-12.25 in simplest form
1 answer:
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Answer: The correct option is (A) reduction.
Step-by-step explanation: Given that the quadrilateral A'B'C'D' is a dilation of the quadrilateral ABCD.
As shown in the given figure, the lengths of the sides of quadrilateral ABCD are as follows:
AB = 5 units, BC = 4 units, CD = 10 units and DA = 6 units.
And, the lengths of the sides of quadrilateral A'B'C'D' are as follows:
We know that the dilation will be an enlargement if the scale factor is greater than 1 and it will be a reduction if the scale factor is less than 1.
Now, the scale factor is given by
Since the scale factor is less than 1, so the dilation will be a reduction.
The Area of rectangle = 80 unit².
<h3>What is Area of rectangle?</h3>The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle. Some examples of rectangular shapes are the flat surfaces of laptop monitors, blackboards, painting canvas, etc. You can use the formula of the area of a rectangle to find the space occupied by these objects. For example, let us consider a rectangle of length 4 inches and width 3 inches.
from figure (a)
DE= 40/8 = 5
BC= 100/5 = 20
Now,
AC= AB + BC= 8+ 20 = 28
CE= CD + DE = 10+5= 15
So, area of rectangle
= AC* CE
= 28* 15
= 420
Now, from figure (b)
CD= 24/12= 2
DE= 12/4 = 3
AC= AB+ BC= 14+ 4= 16
CE= CD + DE= 2+3 = 5
So, Area of rectangle= 16*5 = 80 unit²
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