Answer the questions below. Write your answers in simplest form.(a) A square has a perimeter of 36ft. What is the length of each side?ft(b) A square has an area of 9yd2. What is the length of each side?yd
Question
Answer the questions below. Write your answers in simplest form.(a) A square has a perimeter of 36ft. What is the length of each side?ft(b) A square has an area of 9yd2. What is the length of each side?yd
Solution
(a) The perimeter of a square is calculated by the formula P=4s, where P is the perimeter and s is the side length. To find the side length, we rearrange the formula to s=P/4. Substituting the given perimeter of 36ft, we get s=36ft/4=9ft. So, the length of each side of the square is 9 feet.
(b) The area of a square is calculated by the formula A=s^2, where A is the area and s is the side length. To find the side length, we rearrange the formula to s=sqrt(A). Substituting the given area of 9yd^2, we get s=sqrt(9yd^2)=3yd. So, the length of each side of the square is 3 yards.
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