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Find the Area of the rectangle …

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Find the Area of the rectangle which one of it side is 40cm and one of its diagonal is 41cm
  • 2 answers

Santosh Kumrawat 6 years, 3 months ago

?

Gaurav Seth 6 years, 3 months ago

In Δ ACD

AB = CD = 40 CM

AD=41 CM

∠ACD = 90° ( RECTANGLE HAS 90° ON ALL THE BOTH SIDES)

By Pythagoras theorem

AD² = AC² + CD²

AD² - CD² = AC²

(41)² - (40)² = AC²

1681 - 1600 = 81 = AC²

√81 = AC

AC = 9 CM

Perimeter of Rectangle ABCD = 2 (l+b)

= 2(40 + 9) =  2(49) = 98 CM

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