Question

The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.​

Answer 1

Step-by-step explanation:

Given rectangular field

area=300 square meters

perimeter=70 meters

length=?

width=?

area of rectangular field=l×b

300=l×b

l=300/b .... (1)

perimeter of rectangular field=2(l+b)

70=2(l+b)

70=2(300/b + b)

70=2[(300+b^2)/b]

70b=600+2b^2

2b^2-70b+600=0

2b^2-30b-40b+600=0

2b(b-15)-40(b-15)=0

2b-40=0 ; b-15=0

2b=40 ; b=15

b=20 ; b=15...

width=20,15

length=300/b

length=300/20 ; 300/15

length=15,20

there fore length of the rectangular field is 20m and width is 15m