Question

The length of a rectangle is 3 times the width, and the perimeter is 22. Find the dimensions of the rectangle.

Answer 1

Ok, so first you know that the length=3 times the width, or width=x and length=3x.

To find the perimeter of a rectangle, you add the lengths of all the sides, so you add the width+width+length+length, or x+x+3x+3x.

This is then simplified into Perimeter=8x.

Since the perimeter is 22, you substitute it into the equation:
22=8x

Then, simply solve for x by dividing 22 by 8. The answer is x=2.75.

Since width=x and length=3x, width=2.75 and length=3 (2.75), or length=8.25.

Therefore, the dimensions of the rectangle are width of 2.75 and length of 8.25.

Hope it helps :]