The area of a rectangle is . Find its dimensions in terms of and its perimeter when .
Step 1: Find the dimensions of the rectangle.
The area of a rectangle is equal to its length multiplied by its
width. So, to find the rectangle's dimensions, we can factorise
the area .
can be factorised as .
7 can be factorised as .
Now we can factorise the area.
Therefore, the dimensions of the rectangle are and .
Step 2: Find the perimeter of the rectangle when .
Use the formula for the perimeter of a rectangle. Use the dimensions from Step 1, and substitute the numeric value of .