The perimeter of a rectangle is 60cm. The width is exactly half
if the length.
(a) what is the length of the rectangle
Let's denote the width of the rectangle as w and the length as l.
From the problem, we know that the perimeter, P, is 60cm:
P = 2w + 2l = 60
We also know that the width is exactly half the length:
w = 0.5l
Substituting this into the perimeter equation:
2(0.5l) + 2l = 60
Simplifying:
l + 1l = 60
Combining like terms:
2l = 60
Dividing both sides by 2:
l = 30
Therefore, the length of the rectangle is 30cm.