Answer:
594 in²
Step-by-step explanation:
There are several ways to do this.
- divide the shaded region into rectangles, and add their areas
- divide the shaded region into trapezoids and add their areas
- subtract the white space from a bounding rectangle.
Given the way the figure is dimensioned, the last strategy is the easiest.
A rectangle that surrounds the entire figure will be 36 inches wide and 22 inches high. The white space rectangle in the lower right corner is shown to be 18 inches wide and 11 inches high.
The area of a rectangle is the product of its length and width:
A = LW
So the difference in area between the "bounding" rectangle and the whitespace rectangle is ...
shaded area = (36 in)(22 in) -(18 in)(11 in) = 792 in² -198 in²
shaded area = 594 in²
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<em>Additional comment</em>
You can also recognize that the dimensions of the cut out corner are each half the overall dimensions. That means the shaded area is 3/4 of the overall "bounding" rectangle. There are several ways you can make use of that fact.
Answer: C
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You would get rid of the 2.5 by subtracting 2.5 on both sides, then the equation becomes
3x=3.6
solve for X by dividing 3 on both sides
Answer:
the second one
Step-by-step explanation:
Gina's mom does not know where she is, meaning that Gina did not tell her and implyling she did not want to worry her.
X = number of right-handed gloves
12 - x = number of left-handed gloves
45x + 52 (12 - x) = 561
distribute
45x + 624 - 52x = 561
combine like terms
-7x + 624 = 561
subtract 624 from both sides
-7x = -63
divide both sides by -7
x = 9 (amount of right handed gloves)
12 - 9 = 3 (amount of left handed gloves)