Mathematics: Select all of the expressions that are equivalent to 4 to the root of 5

Select all of the expressions that are equivalent

penaabel6202

16.09.2020

The area of the rectangle A = 25x² - 20x

Step-by-step explanation:

Given

The width of the rectangle = w = 5x - 4

The length of a rectangle = l = 5x

To determine

The area of the rectangle = ?

Using the Formula to determine the area of the rectangle

A = wl

substitute w = 5x - 4 and l = 5x in the formula

A = (5x-4) (5x)

Apply distributive law: a(b-c) = ab - ac

$=\left(5x\right)\cdot \:5x-\left(5x\right)\cdot \:4$

$=5x\left(5x\right)-4\left(5x\right)$

as 5x(5x) = 25x² and 4(5x) = 20x, so

=25x^2-20x

Therefore, the area of the rectangle A = 25x² - 20x

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