The perimeter of the rectangle below is p inches and the area of the rectangle is 36 square inches. If l and w are integers, what is one possible value of p?
t inches
w inches

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answer is A.

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Detailed Solution

Concept- The perimeter P of a rectangle is given by the formula,

where l is the length of a rectangle and w is the width of a rectangle.
The area A of a rectangle is given by the formula,

where l is the length of a rectangle and w is the width of a rectangle.
t inches w inches
From the given figure, the length of the rectangle is l inches and breadth of the rectangle is w inches.
It is also given that the area of the rectangle is 36 square inches.

As we know that it has been given that both l and w are integers.
So, by using this information, we will find out the possible pairs of

.
The possible pairs of

As we already know that the perimeter of rectangle is

By substituting the possible pairs of

in the perimeter of rectangle, we get
Question Image

From the given options, only

matches the above possible set of values of p.
Hence, the correct answer is option (1).

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