Question

The length of a rectangle is 24 cm and each of its diagonal measure 26 cm. Find its area?

Answer 1

Answer:

area of this rectangle= 240 cm²

Step-by-step explanation:

in rectangle ABCD,

ΔACD is a rgtΔ

therefore, with the help of pythagoras theorem,

AC²= l²+ b² (AC= 26cm ; l= 24cm)

26²= 24² + b²

676= 576 + b²

b²= 676- 576

  = 100

b = √100  = 10 cm

now l=24cm ; b=10cm

area of rectangle= l×b

= 24×10

=240 cm²