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madam [21]
3 years ago
6

The width of the rectangle is 5x-4. The length of the rectangle is 5

Mathematics
1 answer:
drek231 [11]3 years ago
3 0

Answer:

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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