You are given rectangle ABCD on the grid shown and are told that the figure is moved two units. The person fails to tell you in
what direction. Which COULD be the new coordinates of point D?
a. (-6,-4)
b. (-1,-4)
c. (-2,-2)
d. (4,-4)
a. (-6,-4)
b. (-1,-4)
c. (-2,-2)
d. (4,-4)
2 answers:
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The length of the rectangle is 7 centimeter and the width of the rectangle is 4 centimeter
A rectangle has length 3 cm greater than it’s width
Consider the width of the rectangle = x
The length of the the rectangle = x + 3
The area of the rectangle = 28 square centimeter
The area of the rectangle = The length of the the rectangle × The width of the rectangle
Substitute the values in the equation
x(x+3) = 28
Apply the distributive property
+ 3x = 28
+ 3x -28 = 0
Split the middle term and solve the equation
-4x + 7x -28 = 0
Take common term outside
x(x-4) + 7(x-4) =0
Take common term outside
(x+7) (x-4) = 0
x = -7, 4
The length cannot be negative value
x = 4 centimeter
Then the length of the rectangle = x + 3
= 4 +3
= 7 centimeter
Hence, the length of the rectangle is 7 centimeter and the width of the rectangle is 4 centimeter
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