Question

the area and perimeter of a rectangular field are 2000 sq-m and 180 m respectively find its length and breadth?​

Answer 1

ANSWER:

Given:

area of rectangle = 2000sq-m

perimeter of rectangle = 180m

To Find:

find length and breadth

Proof:

area of rectangle = lb = 2000

perimeter of rectangle = 2[l+b] = 180= l+b=90

b= 90-L

substitute b value in area

L[90-L] = 2000

90L-L^2 = 2000

L^2-90L+2000=0

L^2-50L-40L+2000=0

L(L-50)-40(L-50)=0

(L-50)(L-40)=0

L= 50,40

substitute L value in perimeter

b=90-L

b=90-50=40 or b=90-40=50

Answer 2

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