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What are a score or more facts about a rectangle whose area is 33.0672 square cm and a length 1.66 cm longer than its width?
Wiki User
∙ 10y ago
Let the length and width of the rectangle be L and W. Let the length exceed the width by D, so that W+D=L. And let the area be A=LW.
Substituting L=W+D into A=LW, we have
A = (W+D)W
A = W2+DW
W2 + DW - A =0
Solving for W, using the quadratic formula:
W = [-D±sqrt (D2+4A)]/2
Now, plugging in D = 1.66 and A = 33.0672, we can find the width W:
W = 4.98.
And using L = W+D, we get:
L = 6.64
Well, there's two facts. Find 18 more, and you'll have a score.
Additional Information:-
1 It's a 2 dimensional 4 sided shape
2 It belongs to the class of polygons known as quadrilaterals
3 It has 4 interior right angles
4 It has 4 exterior angles that add up to 360 degrees
5 It will tessellate
6 It has 2 lines of symmetry
7 It has rotational symmetry to the order of 2
8 It can be split into 2 right angle triangles
9 It can be used in conjuction with Pythagoras' theorem
10 It can be divided into 4 isosceles triangle
11 It can be used in conjuction with trigonometry
12 Its diagonals work out as 8.3 cm in length
13 Its length works out as 6.64 cm
14 Its width works out as 4.98 cm
15 Its perimeter adds up to 23.24 cm
16 Its dimensions are conducive to the given area
17 It can be used in conjuction with the quadratic equation formula
18 It's technically a parallelogram
19 It can be congruent or similar to other rectangles
20 It's sometimes known as an oblong
21 Its best friend is the 3D cuboid because they look-a-like from a distance
22 It has cyclic properties within a circle
23 It can undergo transformations on the Cartesian plane
Wiki User
∙ 10y ago
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