1.

A square has a diagonal of length 15 cm. Another square has a diagonal of length 22 cm. Find the difference between the areas of the two squares?1). 178.45 sq. cm2). 219.57 sq. cm3). 129.5 sq. cm4). 242.11 sq. cm

Answer»

Diagonal of the square = 15 cm = √2 × Side[? √2 = 1.414]

∴ Side of the square =15/√2 cm

Area of the square = (Side)2  = 112.5 sq. cm

Diagonal of the square = 22 cm = √2 × Side

∴ Side of the square = 22√2 cm

Area of the square = (Side)2  = 242 sq. cm

DIFFERENCE = 242 – 112.5 = 129.5 sq. cm

∴ Difference between the AREAS of the two squares is 129.5 cm.


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