the perimeter of a rectangal is 160 cm and it's area is 1584sq. cm find the length and breadth
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Let a and b be the length and breadth of the rectangle respectively
Perimeter of rectangle =2*(a+b)
Area of rectangle =a*b
Given: 2*(a+b)=160 cm
l*b=1584 sq.cm
- 2*(a+b)=160 cm
- a+b=80 cm
- b=(80-a) cm
a*b=1584 sq. cm
a*(80-a)=1584
80a-a^2-1584=0
a^2 - 80a+ 1584=0
a=44,36
Length being the longer side a=44 cm
Breadth b=80-a=80-44=36 cm
- Length= 44 cm
- Breadth= 36 cm
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