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The length of a diagonal of a square is 7.5 mm. Find the area of the square.
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The length of a diagonal of a square is 7.5 mm. Find the area of the square.

User Jorre
by
8.2k points

1 Answer

5 votes
By Pythagoreans' theorem,

7.5² = l² × b²
56.25 = l² × b²

Since l = b
56.25 ÷ 2
= l²/b²
= 28.125 mm

∴ l = √28.125
= 5.3033 mm

Area of square
= √28.125 × √28.125
= 28.125 mm²
≈ 28.1 mm² (3s.f.)
User Mano
by
8.2k points
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