Rachael’s patio has an area of 290 square feet. If the patio is shaped like a square, what is the approximate side length?
A. about 72.5 feet
B. about 145 feet
C. about 17 feet
D. about 24 feet

Respuesta :

C. 17 ft.

a rectangle's area is Length • Width

since it is a square we know that Length = Width, therefore, Area = Length • Length or Area = Length^2.

[tex]290 = {x}^{2} [/tex]
[tex] \sqrt{290 } = x[/tex]
[tex]17 = x[/tex]
you just do the inverse operation to find the side Length of the square.

Answer:

C. about 17 feet

Step-by-step explanation:

Since, we know that,

The area of a square is,

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

Where,

s = side length,

If A = 290 square feet,

[tex]\implies 290 = s^2[/tex]

[tex]\implies s = \sqrt{290}=17.0294\approx 17[/tex]

Hence, the side length of the patio would be about 17 ft,

OPTION C is correct.