The length of a rectangle is 8.75 cm more than 3 times the width. If the perimeter of the rectangle is 89.5 cm, what are its dimensions?
Let's say the width of the rectangle is x cm.
The length of the rectangle is 8.75 + 3x cm.
The formula for the perimeter of a rectangle is 2(length + width), so the equation is 2(8.75 + 3x + x) = 89.5.
Simplifying the equation, we get 17.5 + 8x = 89.5.
Combining like terms, we get 8x = 72.
Dividing both sides by 8, we get x = 9.
So the width of the rectangle is 9 cm.
The length of the rectangle is 8.75 + 3(9) = 8.75 + 27 = 35.75 cm.
Therefore, the dimensions of the rectangle are 9 cm x 35.75 cm.