A rectangle has length of 52 and perimeter of 162 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 =
162 - 2(52)
2
w =
162 - 104
2
w =
58
2
w = 29>
Calculate Area (A):
A = l x w where l = length and w = width Plug in l = 52 and w = 29 A = 52 x 29 A = 1508
Calculate diagonal length
Diagonal = √l2 + w2 where l = length and w = width Plug in l = 52 and w = 29 Diagonal = √522 + 292 Diagonal = √2704 + 841 Diagonal = √3545 Diagonal = 59.539902586417
Calculate the circumradius R:
R =
√l2 + w2
2
R =
√522 + 292
2
R =
√2704 + 841
2
R =
√3545
2
R =
59.539902586417
2
R = 29.769951293208
r =
1508
81
Calculate the inradius r:
r =
lw
l + w
r =
(52)(29)
52 + 29
r =
1508
81
r = 18.617283950617
Other Properties:
Faces = 1 Edges = 4 Vertices = 4
Final Answers
l = 52 P = 162 w = 29 A = 1508 Diagonal = 59.539902586417 R = 29.769951293208 r = 18.617283950617 Faces = 1 Edges = 4 Vertices = 4
What is the Answer?
l = 52 P = 162 w = 29 A = 1508 Diagonal = 59.539902586417 R = 29.769951293208 r = 18.617283950617 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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