Mathematics: The length of a Charlotte,North Carolina conservatory garden is 20 yards greater than its width. The area is 300 square yards.what are the dimensions??

idont know i am trying to figure this out to but i dont knowlol....

The length of a Charlotte,North Carolina conservatory

Ответ:

jess4kids

20.01.2022

Mathematics

The width of the garden is 10 yards.

The length of the garden is 30 yards.

Step-by-step explanation:

Let be the width of the garden so x+20 is its length.

We now that the area of a rectangle is width times length, so the area of our garden is x(x+20) . We also now that the area of the garden is 300 square yards so x(x+20)=300

Now we can solve our equation for to find the dimensions of our garden

x(x+20)=300

$x^{2} +20x=300$

$x^{2} +20x-300=0$

- Splitting the middle term:

$x^{2} +30x-10x-300=0$

- Grouping similar terms:

$(x^{2} -10x)+(30x-300)=0$

x(x-10)+30(x-10)=0

(x-10)(x+30)=0

- Using the zero property:

x-10=0 or x+30=0

x=10 or x=-30

Since distances cannot be negative, x=10 is the solution of our equation (and the width of our garden). Since the length is 20 yards more than the width, the length of our garden is 10 + 20= 30 yards.

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The length of a Charlotte,North Carolina conservatory garden is 20 yards greater than its width. The area is 300 square yards.what are the dimensions??

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