A rectangle is 25 feet long it’s area is 375 ft.². What is the perimeter of the rectangle

1 answer

To find the perimeter of the rectangle, we first need to determine its width using the area formula for a rectangle, which is:

\[ \text{Area} = \text{Length} \times \text{Width} \]

We know the area is 375 square feet and the length is 25 feet. Plugging in those values:

\[ 375 = 25 \times \text{Width} \]

To find the width, we can rearrange the equation:

\[ \text{Width} = \frac{375}{25} = 15 \text{ feet} \]

Now that we have both the length (25 feet) and the width (15 feet), we can calculate the perimeter using the perimeter formula for a rectangle:

\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \]

Substituting the values we have:

\[ \text{Perimeter} = 2 \times (25 + 15) = 2 \times 40 = 80 \text{ feet} \]

So, the perimeter of the rectangle is 80 feet.