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In the figure above, if m || l, what is the area, in square units, of the shaded rectangle?
- a)156
- b)168
- c)180
- d)192
Correct answer is option 'D'. Can you explain this answer?
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In the figure above, if m || l, what is the area, in square units, of ...
First, find the slope of l using the points (0, -9) and (12, 0):
Since the two lines are parallel, line m must also have a slope of 3/4. Now we can solve for k using the slope equation and the two points on line m, (0, 0) and (k, 12):
Cross multiply: 4(12) = 3(A)
Simplify: 48 = 3k
Divide by 3: 16 = k
Notice that the coordinates of the point (16, 12) correspond to the width and the length of the rectangle, respectively. Therefore, the area of the rectangle is 16 x 12 = 192 square units.
Since the two lines are parallel, line m must also have a slope of 3/4. Now we can solve for k using the slope equation and the two points on line m, (0, 0) and (k, 12):
Cross multiply: 4(12) = 3(A)
Simplify: 48 = 3k
Divide by 3: 16 = k
Notice that the coordinates of the point (16, 12) correspond to the width and the length of the rectangle, respectively. Therefore, the area of the rectangle is 16 x 12 = 192 square units.
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In the figure above, if m || l, what is the area, in square units, of the shaded rectangle?a)156b)168c)180d)192Correct answer is option 'D'. Can you explain this answer?
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In the figure above, if m || l, what is the area, in square units, of the shaded rectangle?a)156b)168c)180d)192Correct answer is option 'D'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about In the figure above, if m || l, what is the area, in square units, of the shaded rectangle?a)156b)168c)180d)192Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure above, if m || l, what is the area, in square units, of the shaded rectangle?a)156b)168c)180d)192Correct answer is option 'D'. Can you explain this answer?.
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