Question

Hello, can someone help me with this problem?

Answer 1

Area of Rectangle A

`Area = 4x^2`

Area of Rectangle B

`Area = 2x^2`

Fraction

`Fraction =(2)/(3)`

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 = (Rectangle\ A)/(Biggest)`

`Fraction =(4x^2)/(6x^2)`

Simplify

`Fraction =(2x^2 * 2)/(2x^2 * 3)`

`Fraction =(2)/(3)`