Problema Solution
The width of a rectangle is 1 cm less than half the length. If the perimeter of the rectangle is 112 cm, find the dimensions of the rectangle.
Answer provided by our tutors
width is 1cm less than half the length: let the length = x
length= x
width= 1/2x - 1
perimeter is all of the sides added together, so p= length + length + width + width
p = x + x + 1/2x - 1 + 1/2x - 1
solve for x, with p=112
112 = 3x - 2
114 = 3x
x = 38
so if the length is 38, you can find the width by using the above formula:
w=1/2x - 1
w = 1/2(38) - 1
w = 18
Therefore, the length is 38cm and the width is 18cm