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Alecsey [184]
3 years ago
12

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

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0

Answer:

The correct length is <em>34 feet</em>.

Step-by-step explanation:

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

We know that opposite sides of a rectangle are equal.

<em>Perimeter</em> of a <em>closed figure is calculated by adding all the sides of the figure</em>.

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 \times (length + width) ....... (1)

Here, we are given that <em>perimeter </em>is 100 feet and <em>width</em> = 16 feet

Putting values in equation (1):

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

Hence, length is 34 feet.

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