A border of uniform width is placed around a square photograph. If the

Question

A border of uniform width is placed around a square photograph. If the photograph has a side length of n, and the width of the border is p, which of the following represents the area of the border?

A.  2p^2 – n^2 
B.  2p(p - n) 
C.  2p(n + p)  
D.  4(p^2 – n^2) 
E.  4p(n + p)

Archit3110 · Answer

let n be 2
and p be 4
so area of border
10^2-4 ; 96
plug in n as 2 and p as 4 in options
option E gives 96

Maria240895chile · Answer

I got it right but I feel that the phrase "the width of the border is p" could be interpreted in two ways

ScottTargetTestPrep · Answer

We can create the following equation:

Since the area of the entire shape is (n + 2p)^2, and the area of the photo is n^2, the area of the border is:

(n + 2p)^2 - n^2

n^2 + 4p^2 + 4pn - n^2

4p^2 + 4pn

4p(p + n)

Answer: E

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A border of uniform width is placed around a square photograph. If the

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A border of uniform width is placed around a square photograph. If the

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