perimeter of a rectangle is 40 cm and the length and the breadth are in the ratio of 3 into 2 respectively what is the area of rectangle in centimetre
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Answer:
Perimeter = 40 cm
Let , length be 3x and breadth be 2x
We know that ,
2( l+b)= 40 cm
2 ( 3x + 2x ) = 40
5x = 20
x = 4
length = 3 × 4 = 12
breadth = 2 × 4 = 8
Area of rectangle = l × b
= 12 × 8
=96cm^2
Answered by
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Step-by-step explanation:
Given perimeter of a rectangle is 40 cm
We know that
perimeter of a rectangle is 2(l+b)
where l is length of the rectangle
b is the breadth of the rectangle
l/b=3/2
l=3b/2
2(l+b)=40
l+b=20
(3b/2)+b=20
(5b/2)=20
5b=40
b=8
l=3b/2=3×8/2=3×4=12
Area of the rectangle =lb
=8×12cm
=96cm
Area of the rectangle =96cm
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