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The length around a rectangle is called the _____

Answer:  The correct option is (B) 16 meters.

Step-by-step explanation:  As shown in the attached figure, ABCD is a rectangle with length 63 m, width x m and diagonal 65 m.

We are given to find the value of x.

Since all the four angles of a rectangle are right angles, so triangle ABD will be a right-angled triangle, where

∠BAD = 90°, AB = 63 m, AD = x m and hypotenuse, BD = 65 m.

Using Pythagoras theorem, we have from triangle ABD that

BD^2=AB^2+AD^2\\Rightarrow 65^2=x^2+63^2\\Rightarrow x=sqrt{65^2-63^2}\\Rightarrow x=sqrt{4225-3969}\\Rightarrow x=sqrt{256}\\Rightarrow x=16.

Thus, the value of x is 16 meters.

Option (B) is CORRECT.

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