Question

if a rectangle with an area of 42 units^2 has a length of seven units what is the rectangles primeter?

Answer 1

EXPLANATION

Let's see the facts:

The area of the rectangle is equal to 42 squared units.

Length = 7 units

The perimeter is given by the following relationship:

`\text{Perimeter}=2\cdot(\text{length}+\text{width)}`

But i don't know the width, so i can find it by isolating from the area formula as follows:

`\text{Area}=\text{length}\cdot\text{width}`

Isolating the width:

`\text{Width}=\frac{Area}{\text{length}}=(42)/(7)=6\text{ units}`

So, width = 6 units

Finally the perimeter is:

`\text{Perimeter = 2(7+6) = 2(13)=26 units}`

The perimeter is 26 units