Determine the perimeter of the rectangle if its area is 64 m2 and its length is 16 m.

A: 40 m

B: 45 m

C: 30 m

D: 38 m

Correct Answer : A

In order to determine the perimeter of the rectangle, we first need to determine the width (w). The area of a rectangle is calculated by multiplying length×width

, so we can use the following equation to solve for our missing value (w).

Area = l × w

64 m2=16 × w

Divide both sides by 16 to solve for w.

w = 4, or 4 m

Now that we know the length and the width, we can use the formula Perimeter=(length+width)×2

 in order to solve for the perimeter. When we plug in 16 m for our length and 4 m for our width, we have the following: Perimeter=(16m+4m)×2

 which simplifies to 40 m. The perimeter of the rectangle is 40 meters.

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