Q. 33.6( 7 Votes )

One side of a rectangle is 12 cm long and its diagonal measures 37 cm. Find the other side and the area of the rectangle.

Answer :

Given: Breadth (b) = 12 cm


Diagonal = 37 cm



Let length be l cm


We know that,


Base2 + Perpendicular2 = Hypotenuse2


l2 + 122 = 372


l2 = 372-122


l2 = 1369 cm2 – 144 cm2


l2 = 1225 cm2


l = 35 cm


Now,


Area of rectangle = Length × Breadth


= 35 cm × 12 cm


= 420 cm2


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