The numbers are 15,18
They add to 33 and a difference of 3
Answer:
![\text{The width of rectangle}=9x\text{ meters}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20width%20of%20rectangle%7D%3D9x%5Ctext%7B%20meters%7D)
Step-by-step explanation:
We have been given that the rectangle has an area of
square meters and a length of
. We are asked to find the width of rectangle.
Since we know that area of a rectangle is width times length of the rectangle, so we can find width of our given rectangle by dividing given area by length of rectangle.
![\text{Area of rectangle}=\text{Width of rectangle *Length of the rectangle}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20rectangle%7D%3D%5Ctext%7BWidth%20of%20rectangle%20%2ALength%20of%20the%20rectangle%7D)
![\frac{\text{Area of rectangle}}{\text{Length of rectangle}}=\frac{\text{Width of rectangle *Length of the rectangle}}{\text{Legth of rectangle}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BArea%20of%20rectangle%7D%7D%7B%5Ctext%7BLength%20of%20rectangle%7D%7D%3D%5Cfrac%7B%5Ctext%7BWidth%20of%20rectangle%20%2ALength%20of%20the%20rectangle%7D%7D%7B%5Ctext%7BLegth%20of%20rectangle%7D%7D)
![\text{The width of rectangle}=\frac{\text{Area of rectangle}}{\text{Length of rectangle}}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20width%20of%20rectangle%7D%3D%5Cfrac%7B%5Ctext%7BArea%20of%20rectangle%7D%7D%7B%5Ctext%7BLength%20of%20rectangle%7D%7D)
Upon substituting our given values in above formula we will get,
![\text{The width of rectangle}=\frac{18x^3\text{ meter}^2}{2x^2\text{ meters}}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20width%20of%20rectangle%7D%3D%5Cfrac%7B18x%5E3%5Ctext%7B%20meter%7D%5E2%7D%7B2x%5E2%5Ctext%7B%20meters%7D%7D)
![\text{The width of rectangle}=\frac{9x^3\text{ meters}}{x^2}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20width%20of%20rectangle%7D%3D%5Cfrac%7B9x%5E3%5Ctext%7B%20meters%7D%7D%7Bx%5E2%7D)
Using exponent rule for quotient
we will get,
![\text{The width of rectangle}=9x^{3-2}\text{ meters}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20width%20of%20rectangle%7D%3D9x%5E%7B3-2%7D%5Ctext%7B%20meters%7D)
![\text{The width of rectangle}=9x^{1}\text{ meters}=9x\text{ meters}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20width%20of%20rectangle%7D%3D9x%5E%7B1%7D%5Ctext%7B%20meters%7D%3D9x%5Ctext%7B%20meters%7D)
Therefore, width of our given rectangle will be 9x meters.
What is the context ? is it multiple choice ?
3 9/100 would be written as a decimal like this, 3.09. You say three and nine one hundredths. The 9 has to be in the hundredths place, so you put a 0 in front of it. And since the 3 is hole, you put it in front of the decimal point.