the length of a rectangle is 3 cm longer than it’d width. if the perimeter of the rectangle is 38, find it’s area.
1 answer:
Answer:
88 cm²
Step-by-step explanation:
w = x
l = x + 3
P = 38
We know that , so we substitute known values:
Therefore, we know that the width (x) is 8 cm and the length (x + 3) is 8 + 3 = 11 cm. To verify, we can check that the perimeter equals 38:
8 + 11 + 8 + 11 = 38. <em>Check.</em>
Thus, the area of the rectangle is:
Therefore, the area is 88 cm².
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Answer:
Last choice.
Step-by-step explanation:
To find the option that is equivalent to this equation, we can begin by narrowing down our options. The slope contains a negative number, meaning the second point must have a lower y value than the first.
Using this criteria, we can eliminate the first and the third answer. Now, we can test the second and fourth answer.
We can test using the slope formula and plugging in values. When the slope formula:
We get a slope of -5 for both of these equations. Let's plug in the point values to check whether they work:
Choice 2:
-24 = -5(4) + 4
-24 = -20 + 4
-24 ≠ -16
Choice 4:
-16 = -5(4) + 4
-16 = -20 + 4
-16 = -16
Therefore, choice 4 is correct!