1.

For a rectangle area is 40cm square and perimeter is 28cm find the length and breadth of the rectangle

Answer»

Let the length of rectangle be x and breadth be b.

Area of triangle = l*b

40 = l*b

b=40/l cm

Perimeter of triangle = 2(l+b)

28 = 2(l+40/l)

14=(l2+40)/l

14l=l2+40

l2-14l+40=0

l2-10l-4l+40=0

l(l-10)-4(l-10)=0

(l-4)(l-10)=0

l=4cm or l=10cm

b=40/l = 10cm or 4cm



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