A rectangular field is four times as long as it is wideIf the perimeter of the field is 300yards, what are the field's dimensions?

Question

asked Dec 8, 2024 230k views

1 Answer

Rudis · Answer 1 · 2024-12-13T21:30:05+0000

Answer:

Length = 120 yards, width = 30 yards.

Explanation:

Lets use
for length and
for width.

The perimeter of a rectangular field is
2l + 2w . We can construct the following equations:

4w = l .

2l + 2w = 300.

If we plug
in for
into the second equation, we get:

2w + 2(4w) = 300.

2w+8w = 300.

10w = 300.

w= 30.

Plug 30 in for
into the first equation.

l = 4*30 = 120.

Length = 120 yards, width = 30 yards.