Question

the diagonal of a square is 42.3 cm .Find the length of the side and the area of square?

Answer 1

A square has 4 equal sides

⇒ We can use Pythagoras' Theorem to find the length of the side.

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STEP 1: Find x:

Let the length of the side be x.

a² + b² = c²

Given that the diagonal is 42.3cm

x² + x² = 42.3

2x² = 42.3

x² = 21.15

x = √21.15

x = 4.60 cm

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STEP 2 : Find area:

Area = Length²

Area = 4.6²

Area = 21.15 cm²

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Answer: The length of the side is 4.6 cm and the area is 21.15 cm²