Question

The perimeter of a rectangle is 60cm. The width is exactly half
if the length.
(a) what is the length of the rectangle

Answer 1

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.