let x = radius of flowerbed
The entire area =
If you know the entire area you will know x and the diameter will be 2x
Help I can't figure out an equation to solve this word problem..
A cement walk 1 meter wide is constructed around a circular flower bed. The Area of the flower bed is 9/16 of the entire area (flower bed and walk). What is the diameter of the flower bed?
let the diameter of the flower bed be metres, the area of the flower bed is therefore , therefore the area of the entire construction (flower bed and walk) =
you know that is 9/16 of
Therefore
, splitting the middle term;
Therefore or
But we said the diameter of the flower bed is , therefore and as is a length, which must be positive.