Question

the perimeter of rectangle 40cm area is 96cm2 find the sides

Answer 1

Answer:

Length is 12 cm and breadth is 8 cm.

Step-by-step explanation:

Let the length and breadth of the rectangle be L and B.  

2(L+B) = 40, or  

L + B = 20, or  

B = 20-L …(1)  

LB = 96 …(2). Put value of B from (1) in (2), to get  

L(20-L) = 96, or  

20L - L^2 = 96, or  

L^2–20L+96 = 0  

(L-12)(L-8) = 0, or  

L = 12 or 8 (not acceptable), while B = 8 or 12 (not acceptable)

Length is 12 cm and breadth is 8 cm.