Question

the perimeter of a recatangular plot is 108 cm and its area is 1800 sq. m.take the length of the plot as x m. use the perimeter 180 m to write the value of the breadth in terms of x. use the value of length , breadth and the area to write an equation in x. solve the equation to calculate the length and breadth of the plot.​

Answer 1

Answer:

Perimeter = P = 180

P = 2x + 2y

180 = 2(x+y)

180/2 = x + y

90 = x + y

90 - y = x

x= 90 - y

Area = A = 1800

A = x * y

1800 = x * y

x * y = 1800

since x = 90 - y

(90-y) * y = 1800

90y - y^2 = 1800

0 = y^2 - 90y + 1800

0 = (y - 20) (y - 90)

y = 20 or y = 90

x = 90 - y

x = 90 - 20

x = 70

Therefore x=length=70 and y=breadth=20