Question

Hello, can someone help me with this problem?

Answer 1

Answer:

Area of Rectangle A

$Area = 4x^2$

Area of Rectangle B

$Area = 2x^2$

Fraction

$Fraction =\frac{2}{3}$

Step-by-step explanation:

From the attached, we understand that:

The dimension of rectangle A is 2x by 2x

The dimension of rectangle B is x by 2x

Area of rectangle is calculated as thus;

$Area = Length * Breadth$

Area of Rectangle A

$Area = 2x * 2x$

$Area = 4x^2$

Area of Rectangle B

$Area = x * 2x$

$Area = 2x^2$

Area of Big Rectangle

The largest rectangle is formed by merging the two rectangles together;

The dimension are 3x by 2x

The Area is as follows

$Area = 2x * 3x$

$Area = 6x^2$

The fraction of rectangle A in relation to the largest rectangle is calculated by dividing area of rectangle A by area of the largest rectangle;

$Fraction = \frac{Rectangle\ A}{Biggest}$

$Fraction =\frac{4x^2}{6x^2}$

Simplify

$Fraction =\frac{2x^2 * 2}{2x^2 * 3}$

$Fraction =\frac{2}{3}$