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

$\frac{1}{4}$ yd = s

Area (A) of a square = s²

= ($\frac{1 yd}{4}$)²

Now, convert from yard to foot to inch:

($\frac{1 yd}{4}$)² x ($\frac{3 ft}{1 yd}$)² x ($\frac{12 in}{1 ft}$)²

= (3 x 3 x 12 x 12) ÷ (4 x 4)

= 81 in²