2 years ago

PLEASE RESPOND QUICKLY

Mathematics

2 answers:

mina [271]2 years ago

6 0

Answer:

X=5

Step-by-step explanation:

Your welcome

Natalija [7]2 years ago

4 0

Answer:

x= 5

Step-by-step explanation:

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a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.

ANEK [815]

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: $\mathbf{Length = a -5}$ and $\mathbf{Width = a^2 + 5a + 25}$

The area is given as:

$\mathbf{Area = a^3 - 125}$

Express 125 as 5^3

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Apply difference of cubes

$\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}$

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The area of a rectangle is:

$\mathbf{Area = Length \times Width}$

So, by comparison:

$\mathbf{Length = a -5}$

$\mathbf{Width = a^2 + 5a + 25}$

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