Answer:
The scaled factor is 3.
Step-by-step explanation:
Consider the figure shown below:
It is given that: A rectangle N has an area of 5 square units. James drew a scaled version of Rectangle N and labeled it Rectangle P.
We need to find the scale factor which is used by James.
First, we will calculate the area of Rectangle P by counting the number of squares shown in the figure.
Area of rectangle P = 45 square unit
Let x be the scaled factor.
To scale the rectangle we need to multiply both the length and breadth of the rectangle N by x and the scaled area should be equal to 45.
[tex][x\times \text{Length} ][x \times \text{breadth}]=45[/tex]
[tex]x^2(\text{Length} \times \text{breadth})=45[/tex]
It is given that area of the rectangle N is 5 square units, so put length time breadth as 5.
[tex]x^2(5)=45[/tex]
[tex]x^2=9[/tex]
[tex]x=3[/tex]
Hence, the scaled factor is 3.
