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3 years ago

The dimensions of a garden are 300' by 200'. If a model garden with the

Mathematics

1 answer:

nekit [7.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

We know that 10' = 1". We want to find a x and y for 300' = x" and 200' = y". We can do this by figuring out ratios between similar values. For the numbers ending in ', we can say that 300/10 = 30 and 200/10 = 20. Therefore, to get x and y, we can multiply

10' = 1" by 30 on both sides to get

300' = 30"

and multiply by 20 on both sides to get

200' = 20"

Therefore, we can say that 300' by 200' = 30" by 20"

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Which polynomial expression represents the area of the outer most square tile, shown below?

Andrew [12]

ANSWER

${x}^{2} - 6x + 9$

EXPLANATION

The outermost square tile has side length,

$l = x - 3$

The area of a square is given by;

$Area= {l}^{2}$

We substitite the given expression for the side length into the formula to obtain,

$Area= {(x - 3)}^{2}$

$Area= {(x - 3)}(x - 3)$

We expand using the distributive property to obtain;

$Area=x {(x - 3)} - 3(x - 3)$

This gives us:

$Area= {x}^{2} - 3x - 3x + 9$

$Area= {x}^{2} - 6x + 9$

The last choice is correct.

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