The area of a square garden is 900 square feet. What is the length of one side of the garden? A 450 ft C 225 ft B 300 ft D 30 ft​

Respuesta :

Answer:

[tex]\boxed {\boxed {\sf D. \ 30 \ feet}}[/tex]

Step-by-step explanation:

The area of a square is found by multiplying the base and the height, but since all the sides are equal, it is equal to multiplying a side by another side.

[tex]a=s*s[/tex]

[tex]a=s^2[/tex]

We know the square garden has an area of 900 square feet. We can substitute this value in for a.

[tex]900 \ ft^2=s^2[/tex]

Since we are solving for the side, we have to isolate the variable s. It is being squared. The inverse of a square is the square root, so we take the square root of both sides.

[tex]\sqrt {900 \ ft^2}= \sqrt{s^2}[/tex]

[tex]\sqrt {900 \ ft^2}=s \\[/tex]

[tex]30 \ ft=s[/tex]

One side of the garden is equal to 30 feet and choice D is correct.

Step-by-step explanation:

Area of square garden=a^2

ATQ

a^2=900 sq.feet

➝a=√900

➝a=30feets

Correct option-D