Jawab:

√26 units (c)

Penjelasan dengan langkah-langkah:

Given that:

diagonal of a square = 2 units

Find the length of the square side

by using the Pythagorean theorem:

Diagonal = √(side²+side²)

Diagonal = √(2×side²)

side = √(diagonal²/2)

side = √(2²/2)

side = √(2²) / √2

side = 2 / √2

side = (2√2)/2

side = √2 units

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A rectangle is formed by combining 6 squares.

Factor pair of 6 = 3and2

Thus, the squares form the rectanglewith3 : 2 length and width ratio.

the length of the rectangle = √2 × 3 = 3√2 units

the width of the rectangle = √2 × 2 = 2√2 units

Find the diagonal using the pythagorean theorem:

Diagonal = √(length²+width²)

Diagonal = √((3√2)²+(2√2)²)

Diagonal = √((9×2)+(4×2))

Diagonal = √(18+8)

Diagonal = √26 units (c)

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#Jenius - kexcvi