The perimeter of the rectangle is 224 cm. Find the area if you know that the length is 3 times the width.

Given the perimeter of a rectangle is 224, we need to find
the area.

First we will find the length of the
sides.

==> Let the length be L and the width be
W.

Then the perimeter is P = 2L + 2w =
224

We will divide by
2.

==> L + w =
112............(1)

Now we are given that L=
3w

==> 3w + w =
112

==> 4w =
112

==> w
=28

==> L=  84

Now we
will calculate the area.

==> A= L*w = 84*28 =
2352

Then the area of the rectangle is 2,352
cm^2