perimeter of a rectangle is 64cm. if its dimensions are the ratio 3:5 finds area. (fully explained)
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Length will be 12 cm
Breadth will be 20 cm
Area will be 240 cm²
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l = [P/2] - w
Let the length of two adjacent sides be x and y respectively.
The ratio of the length of two adjacent sides is x:y=7:9
⇒ y x
= 9 7
⇒x= 9 7y
….(1)
Given: Perimeter of the rectangle=2×(sum of the length of two adjacent sides)
⇒64=2(x+y)
⇒64=2( 9 7y +y) ⇒64=2( 9 7y+9y )
⇒16y=32×9
⇒y= 16 32×9
=2×9=18 cm
Substitute the value of y=18cm in (1) we get
x= 9 7y
= 9 7×18
=7×2=14 cm
Hence the length of two adjacent sides are 14 cm and 18 cm
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