Question

2. The perimeter of a rectangular plot is 180 m and its
area is 1800m'. Take the length of the plot as x. Use
the perimeter 180 m to write the value of the breadth
in terms of Use the values of length, breadth and the
area to write an equation in x. Solve the equation to
calculate the length and breadth of the plot. (CSE)​

Answer 1

Answer:

Step-by-step explanation:

2(X+Y)=180. (1)

X.Y=1800. (2)

Therefore

Y= 1800/X from. (2)

Substitute in eqn. (1) we have

X²-90X+1800=0

X²-60X-30X+1800=0

X(X-60)-30(X-60) =0

(X-60) (X-30)=0

Therefore

Length= 60 m

Breadth=30 m

Answer 2

Let AB = CD = x and AC= BD = y  

Perimeter of ABCD = 2(x+y) = 180  

So x+y = 90  …. (i)

Area ABCD = xy = 1800

(x-y)2 = (x+y)2 – 4xy = 8100 – 7200 = 900 = (30)2  

x- y = 30  ….. (ii)

Solving (i) and (ii) we get x = 60 & y = 30

Answer:

Step-by-step explanation: