Question

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

Answer 1

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.


`290 = {x}^(2)`

`√(290 ) = x`

`17 = x`
you just do the inverse operation to find the side Length of the square.

Answer 2

C. about 17 feet

Explanation:

Since, we know that,

The area of a square is,

`A=s^2`

Where,

s = side length,

If A = 290 square feet,

`\implies 290 = s^2`

`\implies s = √(290)=17.0294\approx 17`

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

OPTION C is correct.