Question

the area of the entire rectangle to the right is x(x + 5). find another expression for this area by finding the sum of the areas of the smaller rectangles. the area is help me solve this view an example get more help clear all check answer

Explanation:

Step1: Recall area formula for rectangle

The area of a rectangle is length times width. The large rectangle has length $(x + 5)$ and width $x$.

Step2: Split into smaller rectangles

The large rectangle can be split into two smaller rectangles. One with dimensions $x\times x$ (area $x^2$) and another with dimensions $x\times5$ (area $5x$).

Step3: Find sum of areas of smaller rectangles

The sum of the areas of the two - smaller rectangles is $x^2+5x$.

Answer:

$x^{2}+5x$