Begin by finding the area of the current garden. Then write an equation for the area of the new garden. What kind of shape does the garden have?
Length: 12 m Width: 9 m
Practice makes perfect
We will first find the area of the current garden.
The garden has a rectangular shape. Therefore, its area is the product of its length and width.
A=l w
Let's substitute the given values and find its area.
The area of the garden is 54 m^2. When she doubles the area, the new area will be 108 m^2. If she increases the length and width by x m, the new area can be found as shown below.
(x+9)(x+6)=108
Now that we have an equation that models the new area of the garden, we can solve it to find amount of increase. Let's start!
Since the amount of increase cannot be negative, she should increase the length and width by 3 meters. With this, we can determine the new dimensions.
Length:& 9+3=12
Width:& 6+3=9
