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