Question

The length of a rectangle is 16 cm and the length of its diagonal is 20 cm. The area of the rectangle is

(a) 320 cm² (b) 160 cm² (c) 192 cm² (d) 156 cm²

Answer 1

(c) 192 cm²

Because,

Let ABCD be the rectangular plot.

Then, AB = 16 cm and AC = 20 cm

BC =?

According to Pythagoras theorem,

From right angle triangle ABC, we have:

= AC² = AB² + BC²

= 20² = 16² + BC²

= BC² = 20² – 16²

= BC² = 400 – 256

= BC² = 144

= BC = √144

= BC = 12 cm

Hence, the area of the rectangle plot = (l × b)

Where, l = 16 cm, b = 12 cm

Then,

= (16 × 12)

= 192 cm²