A rectangular field is eleven times as long as it is wide. If the perimeter of the field is 2400 feet, find the length and width of the field?

Question

i need help!! i dont understand i keep trying

Answer 1

Hi Yareli,

Let's use the variable , w, to represent the width of the field.

Then since the field is 11 times as long as it is wide, we can write the following expression to represent the length of the field: 11w

The perimeter is the sum of all the side measurements (which is 2400 feet in this problem). This sum would be:

w + w + 11w + 11w = 2400

Now combine like terms and use inverse operations to find the width , w :

w + w + 11w + 11w = 2400

24w = 2400

24w/24= 2400/24

w=100 feet

The width of the field will be 100 feet.

The length of the field will be 11 times w or 11 • 100 = 1100 feet

The length will be 1100 feet.