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A rhombus and a square have the same base. If the diagonals of the rhombus measure 30 cm and 16 cm respectively, find the area of the square. 

(a) 225 cm2 

(b) 200 cm2 

(c) 240 cm2 

(d) 289 cm2 

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(d) 289 cm2

Each side of the square = each side of the rhombus = \(\sqrt{\bigg(\frac{30}{2}\bigg)^2 + \bigg(\frac{16}{2}\bigg)^2}\)

\(\sqrt{225+64}\) = \(\sqrt{289}\) = 17 cm

∴ Area of the square = (17)2 cm2 = 289 cm2.

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