Question

find the perimeter of a square whose diagonal is 7 root 2 cm long

Answer 1

"The formula for finding the length d of either diagonal of a square is: d = s√2, where s is the length of one of the 4 congruent sides of the square, and √2 is the positive square root of 2.

Since we're given that the length s = 7 cm, then the length d of the diagonal is found as follows:

d = s√2

= (7 cm)√2

d = 7√2 cm is the exact length of a diagonal of a square with each side 7 cm long.

= (7 cm)(1.414) (Note: 1.414 is an approximation of the positive square root of 2 to 3 decimal places)

d = 9.9 cm is the approximate length of the diagonal rounded to the nearest tenth of a centimeter."

Answer 2

d = 9.9 CM

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