Question

Hi! I just need someone to check if this is correct I also have to show the work so if you can that is much appreciated! The perimeter of a square is one yard. What is the area of the square in square inches? My answer is 36

Answer 1

Perimeter (P) of a square = 4s ; where s is the length of a side

1 yd = 4s

`(1)/(4)` yd = s

Area (A) of a square = s²

= (
`(1 yd)/(4)`)²

Now, convert from yard to foot to inch:

(
`(1 yd)/(4)`)² x (
`(3 ft)/(1 yd)`)² x (
`(12 in)/(1 ft)`)²

= (3 x 3 x 12 x 12) ÷ (4 x 4)

= 81 in²