Question

perimeter of a rectangle is 42cm,and its area 500 sq.cm.
a)if the length is 30+x, then what is the breadth?
b)what is the number x?
c)what are the length and breadth of the rectangle?​

Answer 1

Answer:

Let y be the breadth, and given,

Length=30+x

Then

Y(30+x)=500.....(i)

2(30+x+y)=42

30+x+y=21

30+x=21-y

Sub 30+x in (i),

y(21-y)=500

${y}^{2} - 21y + 500 = 0$

Hence, no such rectangle exists