Question

Rectangle N NN has an area of 5 55 square units. James drew a scaled version of Rectangle N NN and labeled it Rectangle P PP. Rectangle P Rectangle P What scale factor did James use to go from Rectangle N NN to Rectangle P PP?

Answer 1

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.

$[x\times \text{Length} ][x \times \text{breadth}]=45$

$x^2(\text{Length} \times \text{breadth})=45$

It is given that area of the rectangle N is 5 square units, so put length time breadth as 5.

$x^2(5)=45$

$x^2=9$

$x=3$

Hence, the scaled factor is 3.