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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Similar polygons only differ by a scaling factor. In other words, two polygons are similar if one is the scaled version of the other.
In particular, this implies that the angles are preserved, and the correspondent sides are in proportion.
These two polygons are both rectangles, so the angles are preserved. We must check the sides, and we have to check if the smaller sides are in the same proportion as the bigger sides.
So, the two rectangles are similar if the following is true.
In any proportion, the product of the inner terms must be the same as the product of the outer terms:
This is clearly false, and thus the two rectangles are not similar.