Question

The perimeter and the area of the rectangle are 102
units and 540 unit respectively. Then find the length
of the rectangle.
(a) 40 units
(b) 38 units
(c) 36 units
(d) None of these​

Answer 1

Step-by-step explanation:

Perimeter of the rectangle = 2(l + w) units

• Length of Rectangle = p/2 - w units

• Width(w) of Rectangle = p/2 - l units

• Diagonal of Rectangle = √(l 2 + w 2 ) units

• Area of Rectangle = l x w sq.units

• Length of Rectangle = A/w units

• Width of Rectangle = A/l units

Pls mark me as brainlest if the answer is correct.

Answer 2

Step-by-step explanation:

Perimeter= 2(l+b)

102/2=l+b

b= 51-l ....(1)

Now, putting the value of b in area

Area= l×b

540= l× (51-l)

540=51l-l²

l²-51l+540=0

l²-36l-15l+540=0

l(l-36)-15(l-36)=0

(l-15)(l-36)= 0

So, l is either 15 or 36

According to the options given 36unit us the ans