The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters, find the dimension of the rectangle.
a) L = 5cm; W = 18cm
b) L = 13cm; W = 8cm
c) L = 13cm; W = 5cm
d) L = 18cm; W = 5cm
The perimeter of the rectangle would be:
L + W + L + W = 46
We know the convertion from L to W, so we change that:
(3 + 3W) + W + (3 + 3W) + W = 46
Simplify:
3 + 3 + 8W = 46
8W = 40
W = 5cm
Plug back in to find L:
2(5) + 2L = 46
2L = 36
L = 18cm
Thank You!
no problem!