A rectangle has length of 3 and perimeter of 50 Calculate the width and area
Perimeter of a rectangle
P = 2(l x w)
Multiply the 2 through
P = 2l + 2w
Subtracting 2l from each side
P - 2l = 2w
Divide each side by 2
P - 2l
2
=
2w
2
w =
P - 2l
2
w =
50 - 2(3)
2
w =
50 - 6
2
w =
44
2
w = 22>
Calculate Area (A):
A = l x w where l = length and w = width Plug in l = 3 and w = 22 A = 3 x 22 A = 66
Calculate diagonal length
Diagonal = √l2 + w2 where l = length and w = width Plug in l = 3 and w = 22 Diagonal = √32 + 222 Diagonal = √9 + 484 Diagonal = √493 Diagonal = 22.203603311175
Calculate the circumradius R:
R =
√l2 + w2
2
R =
√32 + 222
2
R =
√9 + 484
2
R =
√493
2
R =
22.203603311175
2
R = 11.101801655587
r =
66
25
Calculate the inradius r:
r =
lw
l + w
r =
(3)(22)
3 + 22
r =
66
25
r = 2.64
Other Properties:
Faces = 1 Edges = 4 Vertices = 4
Final Answers
l = 3 P = 50 w = 22 A = 66 Diagonal = 22.203603311175 R = 11.101801655587 r = 2.64 Faces = 1 Edges = 4 Vertices = 4
What is the Answer?
l = 3 P = 50 w = 22 A = 66 Diagonal = 22.203603311175 R = 11.101801655587 r = 2.64 Faces = 1 Edges = 4 Vertices = 4
How does the Rectangles and Parallelograms Calculator work?
Free Rectangles and Parallelograms Calculator - Solve for Area, Perimeter, length, and width of a rectangle or parallelogram and also calculates the diagonal length as well as the circumradius and inradius. This calculator has 4 inputs.
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