Question

The area of a rectangular garden is increased by 55 sq.m if its length is reduced by 2 m.and
the breadth is increased by 5 m. If the length is increased by 3m, and the breadth by 2 m, the
area is increased by 70 sq. m. Find the area of the rectangular garden.​

Answer 1

The Area of Rectangular garden=170 sq.m

Answer 2

Answer:

Step-by-step explanation:

let area of rectangular garden be x

length be y

breadth be z

x+55=2[(y-2)+(z+5)]

x+55=2[y-2+z+5]

x+55=2[y+z+3]

x+55=2y+2z+6

next

x+70=2[(y+3)+(z+2)]

x+70=2[y+z+5]

x+70=2y+2z+10

now equate this two equations

x+55=2y+2z+6

+x+70=2y+2z+10

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2x+125=4(y+z)+16

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2x+125-16=4(y+z)

2x+109=4(y+z)

109=4(y+z)÷2x

109=2(y+z)÷x

x=109÷2(y+z)