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2 years ago

30 POINTS FOR ONE QUESTION!!!!

Mathematics

2 answers:

Westkost [7]2 years ago

5 0

Answer:

900.

Step-by-step explanation:

1) the initial area is: A₀=0.5*base*h;

2) the final area is: A=0.5*(5*base)*(5*h).

It means, that 25A₀=A, then A=900 [cm²].

notsponge [240]2 years ago

4 0

The answer to this question would be 900cm :)

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Ket [755]

The area of the house is the amount of space on the house.

The length of the addition is x + 20
The area of the original house is $x^2 + 30x + 200$

<h3>The length of the addition</h3>

The area of the addition is given as:

$Area = x^2 + 10x - 200$

Expand

$Area = x^2 + 20x - 10x - 200$

Factorize

$Area = x(x + 20) - 10(x + 20)$

Factor out x + 20

$Area = (x -10)(x + 20)$

The width of the addition is x - 10.

Hence, the length of the addition is x + 20

<h3>The area of the original house</h3>

The dimension of the original house is

x + 20 by x + 10

So, the area is:

$Area =(x + 20)(x + 10)$

Expand

$Area =x^2 + 20x + 10x + 200$

This gives

$Area =x^2 + 30x + 200$

Hence, the area of the original house is $x^2 + 30x + 200$