# 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.

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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