Question

Given a rectangular park of perimeter 160 m and area 1600 m^2
Find its length and breadth.

Answer 1

Answer:

length is 40 and breadth is 40

Step-by-step explanation:

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

we are given

perimeter is 160 m

i.e 2(L+B) = 160

and area is 1600

i.e L×B = 1600

if 2(L+B) = 160

(L+B) = 80

B = 80-l

using b as 80-L, in the area equation we get

L×(80-L) = 1600

80L -L² = 1600

or

L² -80L + 1600 = 0

L² -40L -40L + 1600 = 0

L(L-40) -40(L-40) = 0

(L-40)(L-40) = 0

L = 40

if length is 40

breadth is also 40 because 40×40 = 1600