Question

Katy and Jane construct a four-sided wall to surround their castle. The wall has a perimeter of

100 feet. The width of the castle wall is 16 feet. What is the length?
(2 Points)
25 feet
O 50 feet
34 feet
16 feet

Answer 1

The correct length is 34 feet.

Explanation:

Let us assume that the wall created is a rectangle ABCD as shown in the attached image.

We know that opposite sides of a rectangle are equal.

Perimeter of a closed figure is calculated by adding all the sides of the figure.

Here, from the figure, the perimeter is : AB + BC + CD + DA

AB and CD are equal to length.

BC and DA are equal to width.

So,

`Perimeter = 2 * (length + width) ....... (1)`

Here, we are given that perimeter is 100 feet and width = 16 feet

Putting values in equation (1):

`100 = 2 * (16 + length)\\\Rightarrow 50 = 16 + length \\\Rightarrow length = 34 feet`

Hence, length is 34 feet.