Question

The area of a square field is 484 m². Find:
(i) The length of its one side;
(ii) The length of its diagonal, correct to two places of decimal.

Answer 1

Length of a side = 22 m

Length of the diagonal = 31.11 m

Explanation:

Area of a square = a * a = 484 sq. m

(i) Length of a side = root of area = root of 484 = 22 m

(ii) In a right-angled triangle, we know that square of third-side (diagonal) = sum of squares of other two sides

Square of the Length of a diagonal = a^2 + a^2 = 2a^2 = 2(22^2) = 2(484) = 968 sq. m.

Length of the diagonal = root of 968 = 31.11 m

Answer 2

Answer:

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